ECE – PREVIOUS YEAR QUESTIONS FOR ASSIGNMENT

UNIT – 1

1. An area of 144 sq.cm. on a map represents an area of 36 sq.km on the field. Find the R.F. of the scale for this map and draw a diagonal scaleto show kilometres, hectametresand decameters and to measure upto 10 km. Indicate on this scale a distance of 7.56 km.

2. a) A point ‘P’ moves in such a way that it is always equidistant from a given line and a fixed point. The distance between the fixed straight line and fixed point is 50mm.Trace the path of the point P. Draw a tangent and normal at any point.b) Draw a scale with RF 1:50 to show meters; and decimeters and long enough to measure up to 5 meters. Mark a distance of 2.7 meters on it.

3. a) Construct a diagonal scale of R.F = 1/3000 to show meters, decimeters and centimeters and long enough to measure upto 300 m. Mark on it a distance of 246 meters.b) Construct an ellipse. When the distance of the focus from the directrix is equal to 60 mm and eccentricity 2/3. Also draw a normal and a tangent to the curve at a point 35 mm from the focus.

4. a) Construct a diagonal scale of 1:25 to read metres, decimeters and centimeters and long enough to measure 4m. Mark on it a distance of 2.47m. b) Draw a parabola in the parallelogram of sides 120 mm and 80 mm, take the longer side as horizontal base. Consider one of the included angles between the sides as 60 degrees.

5. a) A room of 1728 m3 volume is shown by a cube of 4 cm side. Find the R.F. and construct a scale to measure up to 50 m. Also indicate a distance of 37.6 m on the scale. b) Draw a parabola when span is 80 mm and rise is 30 mm using tangent method.

6. a) An area of 400 cm2 on a map represents an area of 25m2 on a field. Construct a scale to measure up to 5 km and capable to show a distance of 3.56 km. Indicate this distance on the scale. b) Draw a parabola when span and rise are 100 mm and 80 mm respectively. Draw the curve using rectangle method.

7. a) The distance between two points on a map is 15 cm. The real distance between them is 20 km. Draw a diagonal scale to measure up to 25 km and show a distance of 13.6 km on it. b) Draw a path of a ball which is thrown from ground level which reaches a height of 30 m and a horizontal distance of 60 m before return to the ground. Name the curve

8. a) Construct a plain scale to compute time in minutes and distance covered by a train in km., when the train passes between two stations 250 km apart in five hours. The scale should have R.F. 1/500000. Show the distance covered in 45 minutes on the scale. b) The distance between the directrix and the focus of a parabola is 50 mm. Draw the curve. Draw a tangent and normal at a point of the curve 100 mm from the directrix.

9. .a) Construct a diagonal scale to read up to 1/100 of kilometers having given the value of R.F. = 1/50,000 and to measure up to 8 kilometers. Indicate on the scale, a distance of 6.76 kilometers. b) The ordinate of a point P on the curve is 50 mm and is at a distance of 25 mm from the vertex. Draw the parabola

10. a) Draw a Vernier scale of RF = 1/24 to read yards, feet and inches, and to measure up to 4 yards. Show on it lengths representing: i) 2 yards 2 feet 10 inches ii) 1 foot 3 inches. b) Draw an involute of a circle of 35 mm diameter. Draw also a normal and tangent to it at a point 75 mm away from the centre of the circle.

11. a) A small length of 1 mm is to be enlarged to 20 times and a diagonal scale is to be constructed to represent this such that the LC is 0.01 mm. Construct this scale and mark on it a distance of 0.73 mm and 0.29 mm. What is the RF of this scale?

12. b) A circle of 50 mm diameter rolls on a horizontal line for half a revolution. For the remaining half revolution it rolls on a line perpendicular to the first. Draw the curve traced by a point on the circumference of the circle

13. a) The actual length of 300mis represented by a line of10cmon a drawing. Draw a vernier scale to read up to 500m.Mark on it a length of 367m. b) A football kicked from ground reaches the ground travelling a horizontal distance of 35m.Maximum height reached by the ball is18m.Trace the path of the ball and name the curve.

14. a) The vertex of a hyperbola is 5cms from directrix. Draw the curve if the eccentric’s is 3/2. Draw the normal and tangent at a point 50mm from axis. b) A circle of 30mm diameter rolls on the concave side of generating circle of radius 30mm. Draw the path traced by a point on the generating circle for one complete revolution.

15. a) The focii of an ellipse are 80mm apart and the minor axis is 60mm. Draw the ellipse by arcs of circles method. b) A circle of 40mm diameter rolls on a horizontal line for one complete revolution without slipping. Trace the path of a point on the circumference of circle. Name the circle and draw Normal and Tangent from a point 30mm from the center line.

16. a) Construct a diagonal scale of R.F = 1 : 32,00,000 to show kilometers and long enough to measure upto 400 km. Show on it a distance of 257 km on it. b) Draw an ellipse in a parallelogram having sides 15cm and 9 cm long and an included angle of 60 degrees

17. a) A circle of 45mm diameterrolls along a straight line without slipping. Draw a curve traced out by a point P on the circumference for one complete revolution of the circle. Name the curve and draw a tangent to the curve at a distance of 35 mm from the straight line. b) Construct a plain scale to show metres and decimeters, when 3 centimeters are equal to 2 metres and long enough to measure up to 5 metres.

18. a) A circle of 50mm diameter, rolls along a straight line without slipping. Draw a curve traced out by a point on the circumference for 1 ½ revolutions of the circle. Name the curve. b) Construct a plain scale to show kilometers and hectometers when 25 centimetres are equal to 1 kilometre and long enough to measure up to 6 kilometres. Find R.F. and indicate, a distance of 5 kilometres and 6 hectometre of the scale.

19. a) Construct a hypocycloid when the diameters of the rolling circle and directing circle are 50 mm and 200 mm respectively. Draw also a normal and tangent at a point 120 mm from the centre of the directing circle. b) Construct a plain scale to compute time in minutes and distance covered by a train in km., when the train passes between two stations 240 km apart in four hours. The scale should have R.F. 1/400000. Show the distance covered in 45 minutes on the scale.

20. a) Draw an involute of a circle of 35 mm diameter. Draw also a normal and tangent to it at a point 75 mm away from the centre of the circle. b) Construct a diagonal scale to read meters, decimeters and centimeter and long enough to measure upto 5 metres when one metre is represented by 3 centimeter. Find R.F. and indicate on the scale, a distance of 4 metres, 7 decimeters and 6 centimeters

UNIT – 2POINTS AND LINES1. A line AB measures 75 mm and has end A 10 mm infront of V.P. and 15 mm above H.P. and the

other end B, 55 mm infront of V.P and 50mm above HP. Draw the projections of the line and find the inclinations of the line with both the reference planes. Also, draw the traces.

2. The top view of a 75mm long line AB measures 65 mm, while the length of its front view is 50 mm. Its one end A is in the H.P and 12 mm in front of the VP. Draw the projections of AB and determine its inclinations with the H.P and the V.P.

3. The ends of a line AB are on the same projector. The end A is 15 mm above the H.P. and 50 mm infront of the V.P. The end B is 40 mm above the H.P. and 10 mm infront of the V.P. Determine the true length and traces of line AB and its inclinations with the two planes. [15]

4. A 70 mm long line PQ is inclined at 450 to the H.P., and its top view measures 50 mm. The end P is 15 mm above the H.P. while the V.T. of the line is 20 mm below the H.P. Draw its projections and determine its inclination with the V.P. Also, locate its H.T.

5. A 120 mm long line PQ has its ends P and Q 10 mm and 60 mm below the H.P., respectively. The end projectors are 50 mm apart. The mid-point of PQ is 60 mm in front of the V.P. Draw the projections and find the angles with both the reference planes.

6. A line PQ is inclined at 300 to the H.P. The end P is 15 mm in front of the V.P. and the mid-point

of the line is 40 mm above the H.P. The front view measures 60 mm and is inclined at 450 with the reference line. Draw the projections of the line and determine its true length and inclination with V.P. Also, locate its traces

7. The front view of a line AB makes an angle of 30 with the xy line. The H.T. of the line is 45 mm in front of the V.P. while its V.T. is 30 mm below the H.P. The end A is 12 mm above the H.P. and end B is 105 mm in front of the V.P. Draw the projections of the line and find its true length, and inclinations with the H.P. and the V.P

8. A 80 mm long line AB is inclined at 450 to the H.P and 300 to the V.P. Its end A is in the H.P. and 40 mm in front of the V.P. Draw its projections keeping the end B in the fourth quadrant

9. The end point C of an 80 mm long line CD is 15 mm above the H.P. and 10 mm in front of the

V.P. The line is inclined at 300 to the H.P. and 450 to the V.P., and the other end point D lies in the second quadrant. Draw its projections and determine its traces

10. The HT and the VT of a straight line AB is below and above XY respectively. The distance between the HT and the VT as measured parallel to XY is 200mm. The end B of the line is nearer

to the VP than the end A. The view from above of the line makes 300 to XY. The end B is 10 mm from the VP and 20 mm from the HP. The distance between the end projectors of the line measures 50mm parallel to XY. Draw the projections of the line.

11. The end A of a straight line AB is 10 mm from the VP and 20 mm from the HP. The end B is 30 mm from the VP and 40 mm from the HP. The VT of the line is 20 mm from the end A as measured parallel to XY. Draw the projections and find the TL and the inclinations of the line.

12. a) The front view of line inclined at 300 to V.P is 65mmlong. Draw the projections of a line, when it is parallel to and 40mmabove H.P. and one end being 20mm in front of V.P.

13. a) A line AB 60mm long has its end ‘A’ in both H.P and V.P. It is inclined at 300 to H.P and 450 to V.P. Draw the projections.

14. b) Draw the projections of a regular hexagonal lamina of 30mm side resting on one of its base

edges on A.P with its plane perpendicular to H.P and inclined at 450 to V.P.15. a) A vertical line AB 65mm long has its end A in H.P and 25mm in front of V.P. A line AC 90mm

long is in H.P and parallel to V.P. Draw the projections of the line joining B and C and determine its inclination with H.P.

16. b) A regular pentagon of 30mm side has one side on the ground and its plane is inclined at 45 0

to H.P and perpendicular to V.P. Draw the projections17. a) The top view of a line 75 mm long measures 65mm, while its front view is 55 mm. Its one end

‘A’ is in H.P. & 12mm in front of V.P. Draw the projections of line AB and determine its inclination with HP & VP.

18. b) A rectangular lamina of 30 mm × 40 mm is resting on one if its sides in HP. Its surface is

perpendicular to HP and inclined at 300 to V.P. Draw the projections.19. Two pillars A and B 8m and 6m high are separated by a distance of 80m as seen in the view from

the front as measured parallel to XY. In the view from the left they appear to be separated by a distance of 5mas measured perpendicular to XY. A wire is tightly tied to the top ends of the poles A and B. Find the true length of the wire

20. Two pillars P and Q 10 m and 5 m high are separated by a distance of 80 m as seen in the view from the front as measured parallel to XY. In the view from the left they appear to be separated by a distance of 5 m as measured perpendicular to XY. A wire is tightly tied to the top ends of the poles P and Q. Find the TL of the wire.

21. Three pegs are arranged on a flat ground on the circumference of a circle of diameter 3000 mm. The pegs when joined by straight lines form an equilateral triangle. A post 6000 mm high is fixed vertically on the ground at the centre of the circle. The pegs are connected to the top of the post by tight ropes. Find the TL and inclination of all the ropes with the ground.

22. Four pegs are fixed one at each corner of a regular pentagon of 1500 mm side drawn on a flat ground. A post 5000 mm high is fixed erect on the blank corner of the pentagon. The tip of the post is connected to each peg by a tight rope. Find the TL and inclinations of each rope.

PLANES

1. A semicircular plate of 80mm diameter has its straight edge on V.P is inclined at 30° to H.P when the surface of the plate is inclined at 45° to V.P. Draw its projections.

2. A square lamina with a 50 mm side rests on the H.P., on one of its corners, such that the diagonal through that corner is parallel to the V.P. and inclined at 30 to the H.P. Draw its projections when the lamina is perpendicular to the V.P. Measure the distance of the top most corner from the H.P.

3. An equilateral triangle with an 60 mm long edge rests on a corner in the V.P. such that the edge opposite to that corner is perpendicular to the H. P. The surface of the plane is inclined at 45 to the V.P. Draw its projections

4. A pentagonal plane with a 25 mm side rests on the H.P., on one of its corners with its surface

perpendicular to the V.P. and inclined at 300 to the H.P. Draw its projections when the side opposite to the corner on which it is resting is parallel to the H.P.

5. A thin hexagonal plane with a 25 mm side rests on a corner in the H.P., such that its surface is

perpendicular to the H.P. and inclined at 450 to the V.P. Draw its projections when two sides of the plane are perpendicular to the H.P.

6. An isosceles triangular plane ABC with a 70 mm base and altitude 80 mm has its base in the H.P. and inclined at 450 to the V.P. The corners A and C are in the V.P. Draw its projections and determine the inclination of the plane with H.P.

7. A square lamina is placed such that one of the corners is touching the VP and the diagonal through this is perpendicular to the VP and measures 60mm. The other diagonal appear to be 40 mm in the view from above. Draw the projections and find the inclination of the plane to the ground.

8. A pentagonal plane with a 35 mm side is resting on one of its edges in the H.P. with its surface perpendicular to the V.P. The corner opposite to the edge on which it is resting is 40 mm above the H.P. draw its projections. Also, project another front view on an A.V.P. which is inclined at

450 with the V.P.9. b) A thin circular plate of 40mmdiameter having its plane vertical and inclined at 40 0 to V.P. Its

center is 30mm above H.P. and 35mm in front of V.P. Draw the projections.10. A regular hexagonal lamina of sides 40 mm is standing on a corner on the ground with the

diagonal connecting this corner to the opposite corner being perpendicular to the ground. A centrally punched rectangular hole 20 mm × 40 mm with the shorter side parallel to the diagonal perpendicular to the ground appears to be a square in the view from the front. Draw the projections of the lamina.

11. A regular hexagonal lamina of 30 mm sides is standing on a corner on the ground. The diagonal connecting this corner to the opposite corner is parallel to the VP, 50 mm from it and 30° to the ground. The plane of lamina makes 30° to the VP. Draw the projections on the three principal planes.

12. AB and CD are the two mutually perpendicular diameters of a circular lamina of diameter 50 mm. The lamina is standing on the point B on the ground with the surface making 30° to the ground. The diameter CD makes 60° to the VP. Draw the projections of the lamina.

UNIT – 3SOLIDS1. A square pyramid of 35 mm side and 60 mm height rests on one of its triangular faces on the

H.P, such that the base edge is inclined at 400 to V.P. Draw the projections of pyramid. When the apex is nearer to the viewer?

2. A hexagonal pyramid, base 25 side and axis 60 long, has one of its slant edges on the ground. The plane containing that edge and the axis is perpendicular to the H.P. and inclined at 30°to the V.P. Draw the projections when the base is nearer the V.P. than the apex. [15]

3. A hexagonal prism of height 60 mm stands on its base on the ground with one of its rectangular faces being perpendicular to the VP.A groove starting from one of the corners on the base travels around the prism and ends up at a corner on the top face which is directly above the starting point. The groove has to be made on a shortest possible route. The distance of the groove from the starting point to the finishing point is 150mm. Draw the view of the prism from the front clearly showing the route of the groove.

4. A tetrahedron of edge 50 mm long is standing on one of its corners on the ground with one of

the edges connected with this corner making 600 with the ground and one of the triangular

faces connected with this corner making an angle of 300 with the VP. Draw the projection of the object

5. A pentagonal prism of side of base 30mm axis 70mmis resting on one of its base edges in H.P. with its axis inclined at 450 to H.P. The top view of the axis is inclined at 300 to V.P. Draw the projections.

6. Draw the projections of a square prism of side of base 30mm and axis 60mm long resting on one

of its base edges in H.P with its axis inclined at 300 to H.P. and the top view of axis is 450 to V.P.7. Draw the projections of a cylinder of 40mm diameter and axis 60mm long resting on H.P on a

point on its base circle with its axis inclined at 300 to H.P and top view of axis making 450 with V.P.

8. A pentagonal pyramid side of base 30 mm and axis 60 mm long rests on one of its base edges on

HP and making an angle of 300 to V.P. Its axis makes an angle of 450 with HP. Draw the projections.

SECTIONS

1. A cone, base 50 mm diameter and axis 80 mm long is resting on its base on the H.P. It is cut by a section plane perpendicular to the V.P, inclined at 30°to the H.P and cutting the midpoint of its axis. Draw its front view, Sectional top view and true shape of the section.[15]

2. A square prism with a base having 40 mm sides and height 60 mm is kept on its base on the H.P.

such that one of its rectangular faces makes an angle of 300 with V.P. It is cut by a section plane parallel to V.P. such that the true shape of the section is a rectangle with 30 mm and 60 mm sides. Draw its sectional front view and top view.

3. A cylinder with a 50 mm base diameter and a 90 mm long axis, rests on its base in the H.P. It is cut by an auxiliary inclined plane such that the true shape of the section is a semi-ellipse which has a 70 mm long semi-major axis. Draw its projections. Also, determine true shape of section and inclination of the cutting plane with H.P.

4. A pentagonal prism of base edge 30mm and 70mm long is resting on one of its longer edges on the ground. The rectangular faces connected with the edge on the ground make equal

inclinations with the ground. The axis of the prism is inclined at 600 to the VP.A section plane

perpendicular to the VP and inclined at 450 to the ground cuts the object by passing through the mid point of the axis. Draw the isometric view of one of the cut pieces of the object. The cut portion should be visible to the observer in the isometric view

5. A cone of base 40 mm diameter and height 60 mm is standing on one of the points on the base

circle and the base makes 300 to the ground and the axis is parallel to the VP. The axis leans towards the left. The object is cut by a section plane such that the view from the left shows the true shape of the section. The topmost portion of the section is 40 mm above the ground. Draw the true shape of the section and also find the inclination of the section plane with the VP and the HP.

6. A cone 50 mm diameter and axis 60mmlong rests with its base on H.P. It is cut by a section plane perpendicular to H.P. and inclined at 600 to V.P. and at a distance of 10mmfromthe axis. Draw the sectional front view and true shape of section. [15]

7. A square prism, base 35mm side and axis 70mm long has its base on H.P with its faces equally

inclined to V.P. It is cut by a plane, perpendicular to V.P, inclined at 600 to H.P and passing through a point on the axis 50mm above the H.P. Draw the front view, top view and true shape of section.

8. A square pyramid of base 35mm axis 70mm long has its base on H.P with all edges of base

equally inclined to V.P. It is cut by a section plane perpendicular to V.P, inclined at 450 to H.P and passing through a point 20mm below the apex. Draw sectional top view, side view and true shape of section

9. A cone 50 mm diameter 70 mm axis rests on its base in HP. It is cut by a section plane

perpendicular to V.P, inclined at 450 to HP and cuts the axis at a point 25 mm from the apex. Draw its front view, sectional top view, sectional side view & true shape of section.

10. A rectangular prism 30 mm × 60 mm and height 100 mm is standing on the base on the ground with the longer edges of the base parallel to the VP. It is cut by an AIP plane to give the view from above of the section as a square of 30 mm sides. Draw an aux. View with the true shape of the section and find the inclination of the auxiliary inclined plane with the ground.

11. The true shape of the section of a cylinder resting on the rim on the ground, the axis inclined to the ground and parallel to the VP is a rectangle 15 mm by 60 mm. The longer edge is inclined at 30° to the ground line. The lowest corner of this rectangle is 12 mm above the ground. Draw the sectional view from the front and find the inclinations of the section plane with respect to the reference planes.

12. A cylinder of base 40 mm diameter and height 60 mm is standing on one of the points on the

base circle and the base makes 300 to the ground and the axis is parallel to the V.P. The axis leans towards the right. The object is cut by a section plane such that the view from the right shows the true shape of the section. The top most portion of the section is 50 mm above the ground. Draw the true shape of the section and also find the inclination of the section plane with the V.P and H.P.

13. A cone of base 40 mm diameter and height 60 mm is standing on one of the points on the base circle and the base makes 30° to the ground and the axis is parallel to the VP. The axis leans towards the left. The object is cut by a section plane such that the view from the left shows the true shape of the section. The topmost portion of the section is 40 mm above the ground. Draw the true shape of the section and also find the inclination of the section plane with the VP and the HP.

UNIT – 4

DEVELOPMENTS

1. A pentagonal prism of height 60mm and base.30mm is resting on its base with-one base edge parallel to V.P. A square hole edge 30mm with axis-perpendicular to V.P. and bisecting the vertical axis is drilled through the prism. Develop the lateral surface of the prism if sides of the holes are equally inclined to H.P.

2. A cone with base circle diameter 50mm and 60mm height is resting on the base in HP. It is cut by a plane perpendicular to VP and 60 degrees inclined to HP and bisecting the axis of the solid. Draw development of lateral surface of the bottom part of the solid.

3. A cone with base circle diameter 50mm and height 60mm is resting on the base in HP. It is cut by a plane perpendicular to VP and 45 degrees inclined to HP and cutting the axis of the solid 15mm from top. Draw development of lateral surface of the bottom part of the solid

4. A pentagonal prism of base edge 30 mm and height 70 mm is placed with one of its rectangular faces on the ground and the axis parallel to the VP. It is cut by a section plane perpendicular to

the VP and inclined at 300 to the ground. It passes through the midpoint of the axis. Develop the remaining surface of the object

5. A hexagonal prism of 25 mm base edge and height 60 mm is standing on its base on the ground and two adjacent edges of the base make equal inclinations to the VP. A hole in the object appears to be an ellipse in the view from the front with the major axis situated along the view of the axis from the front. The mid point of the axis as appears in the view from the front coincides with the mid point of the major axis. The major axis is 50 mm and the minor axis 30 mm. Draw the development of the surface of the object

6. A hexagonal prism of base edge 25 mm is inclined at 60° to the ground. Two adjacent base edges are equally inclined to the ground. This prism penetrates vertical cylinder of 80 mm base diameter. The axes of the objects intersect each other and both are parallel to the VP. Draw the curves of intersection.

INTERSECTIONS:

1. A vertical cylinder of 60 mm diameter is penetrated by a horizontal square prism of side 30mm and length 100mm., the axis of which is parallel to V.P and all the edges of the square prism are equally inclined to H.P. Draw their projections showing the curves of intersection. Axes of both the solids intersect at a height of 30 mm from the base of the cylinder

2. A vertical cone of 50 mm diameter of base and height 65 mm is resting on its base in H.P and is cut by a section plane perpendicular to V.P and inclined at 60 degrees to H.P and passes through a point 25 mm above the base. Draw the development of the lateral surface upper portion of the cone

3. A cylinder with a 60mm base diameter and height 80 mm long is resting on its base on H.P. It is penetrated by another cylinder 50 mm base diameter and height 90mm long, such that their axes intersect each other at right angles. Draw the projections of the combination and show the curves of intersection.

4. A vertical cylinder 80mm diameter is penetrated by another cylinder of the same size and its axis is parallel to both HP and VP. Axis of vertical cylinder is intersecting the axis of horizontal cylinder. Draw the projections showing curves of intersection

5. A horizontal cylinder 40 mm diameter and axis length 75 mm centrally penetrates vertical cylinder 50 mm as base diameter. Draw the plan and elevation, showing curves of intersection. Assume the axis of the horizontal cylinder is parallel to VP.

6. A horizontal cylinder of 50 mm diameter penetrates a vertical cylinder of 75 mm diameters resting on HP. The two axes are coplanar. The axis of the horizontal cylinder is 50 mm above the HP. Draw the projection showing the curves of intersection

7. A vertical cylinder of 60 mm diameter and 80 mm height is penetrated by a horizontal cylinder 40 mm diameter and 80 mm long. The axis of the penetrating cylinder is parallel to VP and 6 mm in front of the axis of the vertical cylinder. Draw the projections and show the intersection curve

8. A cone of base diameter 60mm and height 80mm stands on its base on the ground. Hexagonal prism (base edge 15mm) with two opposite faces perpendicular to the ground penetrates the cone. The axes of the objects are 10mm away from each other and the axis of the cone is nearer to the VP. Both the axes are parallel to the VP. The axis of the prism is parallel to the HP. Draw the view from above and the view from the front and show the curves of interpenetrations

9. A horizontal cylinder of 30mm diameter penetrates a vertical cylinder of 60mm diameter. The axes of the objects are 15mm apart. Draw the curves of intersection.

10. A pentagonal prism of edges of base 20 mm has one of its longer edges is on HP and face opposite to this edge is parallel to the HP. This penetrates a vertical cylinder of base diameter 60 mm such that the axes of both the objects intersect each other and parallel to the VP. Draw the curves of intersection.

11. A triangular prism, having base with a 60 mm side and a 100 mm long axis, is resting on its base on the H.P. with a nearer face parallel to the V.P. It is penetrated by a cylinder with a 50 mm diameter and a 90 mm long axis. The axis of the cylinder is parallel to both the reference planes and 15 mm away from the axis of the prism towards observer. Draw the projections of the combination and show the curves of intersection

12. A horizontal circular hole of 50mmdiameter is drilled through a vertical cylinder of 80mm diameter and 120mm length. The axis of the hole is parallel to V.P. 10mmin front of the axis of the cylinder. Draw the views of the cylinder with the curves of intersection.

13. A horizontal cylinder of 40mm diameter 120mm length penetrates a vertical cylinder of 60mm diameter 120mm height. The axes of the cylinders intersect each other. Draw the curves of intersection

14. A vertical cylinder of 50mm diameter and height 120mm is penetrated by a horizontal cylinder of same size and same length. The axis of the horizontal cylinder is parallel to V.P and is 7mm away from the axis of vertical cylinder. Draw the projections showing the curves of intersection

15. A vertical cone, diameter of base 70 mm and the axis 90 mm is completely penetrated by a cylinder of 40 mm diameter. The axis of the horizontal cylinder is parallel to V.P and intersects. The axis of cone at a point 25 mm above the base. Draw the projections of the solids showing the curves of intersection

16. A right circular cylinder of base diameter 60 mm and 80 mm high is resting on its base on the ground. A horizontal cylinder of base diameter 40 mm penetrates the first cylinder. The axes of the objects are 10 mm from each other. Draw the curves of intersection.

17. A vertical cylinder of 60 mm diameter of the base is penetrated by an object whose true section is an ellipse of major axis 60 mm and minor axis 40 mm. The axis of this object is parallel to both the HP and the VP and intersects the axis of the vertical cylinder at right angles. The major axis is parallel to the VP and the minor axis is parallel to the HP. Draw the curves of intersection

18. A pentagonal prism of edges of base 20 mm has one of its longer edges is on HP and face opposite to this edge is parallel to the HP. This penetrates a vertical cylinder of base diameter 60 mm such that the axes of both the objects intersect each other and parallel to the VP. Draw the curves of intersection.

UNIT – 5

A) ISOMETRIC PROJECTIONS

1. Draw the isometric projection of square prism of side 8cm and height 12 cms when the axis is a) vertical b) horizontal

2. A cube with a 60 mm side has square holes of 30 mm side, cut through from all the six faces. The sides of the square holes are parallel to the edges of the cube. Draw the isometric View of the cube.

3. Draw the isometric projection of a pentagonal prism with side of base 25 mm and axis 70 mm long. The pyramid is resting on its base on H.P. with an edge of the base perpendicular to V.P.

4. Draw an isometric projection of a frustum of the pentagonal pyramid with a 40 mm base side, 20 mm top side and 35 mm height resting on its base in the H.P.

5. A hexagonal prism with a 30 mm base and 45 mm axis has an axial hole with a 30 mm diameter. Draw its isometric projection. When its axis is perpendicular to H.P. and two rectangular faces are parallel to V.P.

6. A square prism, side of base 4 cm and 8 cm long rests centrally on a cylindrical slab 6 cm diameter and 3 cm thick. Draw the isometric projection of the solid.

7. A cone of base diameter 30 mm and height 40 mm rests centrally over a cube of sides 50 mm. Draw the isometric projection of the combination of solids.

8. A sphere with a 50 mm diameter rests centrally over a cube with a 60 mm side. Draw its isometric projection.

9. The frustum of a sphere with a 80 mm diameter and frustum circle with a 50 mm diameter is used as a paper weight. Draw its isometric projection

10. A sphere of 60mm diameter is intersected by a cylinder of 30mm diameter. The axis of the cylinder passes through the centre of the sphere. The tip of the axis of the cylinder is 70mm from the centre of the sphere. Draw the isometric projection of the objects when the axis of the cylinder is parallel to both the VP and the HP.

11. A hexagonal prism having base with a 30 mm side and a 70 mm long axis is resting on its base on the H.P. with a side of base parallel to the V.P. It is cut by an A.I.P. making 45 0 with the H.P. and bisecting the axis. Draw its isometric projection.

12. Draw the isometric projection of a frustum of hexagonal pyramid side of base 40mmand side of top face is 20mmand height 60mm.

13. A square pyramid of 2cm side and height 60mm, is placed centrally on the top of a square prism of 60mm side and height 40mm. Draw the isometric projection of the combination of solids

14. A Hexagonal prism of base 30mm side and 70mm long has a square hole of sides 20mm at the center. The axis of square hole coincides with the axis of hexagon. Draw the isometric view of the prism with hole.

15. A square pyramids of side of base 2 cm and height 4 cm is placed centrally on the top of the cylindrical block of 60 mm diameter and height 40 mm. Draw the isometric view of the combination

16. A hexagonal prism of base edge 30 mm and height 70mm long is resting on its rectangular face on the ground with its axis parallel to the VP. A square prism of 20 mm base edge and height 40 mm rests on its base on the top rectangular face of the hexagonal prism. The axis of the square prism intersects and bisects the axis of the hexagonal prism when produced. One of the base edges of the square prism is parallel to the VP. Draw an isometric projection of the set up

17. A triangular prism of 50mm base edge and height 80mm is resting on its base on the ground with one of its rectangular faces parallel and nearer to the VP. A square prism of base edge 25mm and 80mm long interpenetrates the triangular prism. The axes of the two objects intersect at right angles to each other. Both the axes are parallel to the VP. Two adjacent longer faces of the square prism are equally inclined to the V.P. Draw the isometric view of the objects.

18. A hollow square prism of 70 mm height is resting on its base on the ground with one of the base edges parallel to the VP. Outside dimensions of the base are 50mm×30mm. It is cut by a section plane inclined at 30° to the VP and 60° to the ground. The section plane is perpendicular to the profile plane. The lowest portion on the prism which the section plane passes through is 20mm above the base. Draw an isometric view of the larger piece of the prism remaining over after it is being cut. The cut portion should be visible to the observer

19. Draw the isometric projections of a frustum of a pentagonal pyramid which is resting on one of its base corners on the ground with the axis inclined at 45° to the ground and parallel to the VP. The two adjacent base edges connected with the corner on the ground make equal inclinations with the ground. The base edge measures 30mm, the top edge measures 20mm. The height of the frustum of the pyramid is 40mm

ORTHOGRAPHIC PROJECTIONS

1. Draw the three views for the component shown in Fig.1

PERSPECTIVE PROJECTIONS:

2. Draw the perspective view of cube of 40 mm edge resting on ground on one its faces. It has one of its vertical edges in the pp and all vertical faces are equally inclined to the picture plane. The station point is 30 mm infront of PP, 60 mm above the ground plane and is contained by a central plane 15 mm to the left of the centre of the cube.

3. A square prism of base edge 30mm and height 60mm is resting on a face with the axis perpendicular to PP and the nearest base parallel and 20mm behind the PP. The SP is 60mm to the right of the axis of the solid and 50mm above the GP, 25mm in front of PP. Draw the perspective view of the prism

4. A rectangular pyramid, base 40 mm x 25 mm and axis 60 mm long, is placed on the ground plane on its base, with the longer edge of the base parallel to and 30 mm behind the picture plane. The central plane is 35 mm to the right of the apex and the station point is 50mm infront of the

picture plane and 20 mm above the ground plane. Draw the perspective view of the pyramid. [15]

5. A rectangular prism of base 30 mm × 40 mm rests on the GP on its base with a corner of the

base touching the PPP. The longer base edge is on the right and inclined at 300 to the PPP. The station point is 50mm in front of the PPP and 75 mm above the GP. If the central plane is 20 mm on the left of the axis of the pyramid. Draw a perspective projection of the pyramid.

6. A circular plate of 60mm diameter is lying on the GP with its centre 42 mm behind the PPP. The station point is 85mm in front of the PPP and 60 mm above the GP. Draw the perspective projection of the plate if the CP is 35 mm to the left of the centre of the plate.

7. A rectangular pyramid of sides of 30 x 20 mm and height 35 mm rests with its base on ground such that one of the longer base edge is parallel to picture plane and 30 mm behind it. The station point is 50 mm in front of picture plane, 30 mm to the left of the axis of the pyramid and 50 mm above the ground. Draw the perspective view of the pyramid.

8. Draw the perspective view of a square pyramid of base side 50 mm and height 80 mm resting on GP with the nearest edge of base parallel to PP and 30 mm behind it. The station point is situated at a distance of 120 mm from PP, 50 mm above GP and 80 mm to the right of the apex of the pyramid.

9. A rectangular prism of base edges 60mm × 40mm and height 80mm is resting on its broader rectangular face on the ground with the base parallel to the PP. The PP bisects the axis of the object. The station point is on the central line of the object 80mm in front of the PP and 70mm above the ground. Draw the perspective projection of the object

10. A cylinder of base diameter 50mm and height 80mm is resting on the ground on its base. The object is placed in front of the PP with one of its generators touching the PP. When the base is enclosed in a square, one of the edges of this square makes 40° with the PP. The station point is directly in front of the generator which is touching the PP and 70mm in front of it. The horizon plane is 40mm above the ground. Draw the perspective projection of the object.

11. A straight line AB, 60mm long is parallel to and 12mm above the ground. It is inclined at 30 0 to the picture plane and its end ‘A’ is 25mm behind the picture plane. The station point is 60mm in front of picture plane, 50mm above ground plane and is contained by a central plane passing through the mid point of the line. Draw the perspective view

12. A square plane with a 60 mm side lies on the GP with the edge nearer to the observer lying in the PP. The station point is 50 mm in front of PP, 60 mm above GP, and lies in a CP which is 50 mm towards right of the centre of the object. Draw its perspective view.

13. A triangular pyramid of base edges 40mm long and axis 70mm is resting on one of the base edges on the ground with the base being parallel to the PP. The apex is nearer to the PP and 20mm behind it. The station point is 50mm to the right of the axis and 60mm from the PP. The horizon is 70mm from the ground. Draw the perspective view of the object.

14. A rectangle ABCD 4cm × 3cm has its surface parallel to and 1cm above GP. Its shorter edge AD is

inclined at 600 to pp such that the corner ‘A’ is 1cm behind pp. The station point is 6cm in front of pp, 4cms above GP and lies in a central plane which passes through A. Draw the perspective view of the rectangle

15. Draw the perspective view of a straight line AB 60mm long parallel to both picture plane and ground plane and 10mm above GP and 15mm behind pp. The station point is 50mm in front of pp, 35mm above GP and is contained by a central plane 16mm to the left of A.

16. A cylinder of base diameter 50mm and height 80mm is resting on the ground on its base. The object is placed in front of the PP with one of its generators touching the PP. When the base is enclosed in a square, one of the edges of this square makes 40° with the PP. The station point is directly in front of the generator which is touching the PP and 70mm in front of it. The horizon plane is 40mm above the ground. Draw the perspective projection of the object.

17. A circular lamina of 50 mm diameter lies on the ground plane and touches the pp. The station point is 60 mm infront of pp and 50 mm above the GP. The centre plane passes through the centre of the circle. Draw the perspective view of the circle.

18. ABCD is one of the rectangular faces of a hexagonal prism. One of the base edges AB is 30 mm long and the height of the prism is 70mm. The prism is resting on its base on the ground with the face ABCD being perpendicular to the PP and the longer edge (BC) touching the PP. The station point is 50mm to the right of the axis of the prism. The station point is 70mm away from the PP and 80mm above the ground. Draw the perspective view of the object.

19. A pentagonal prism of base edge 30mm and height 60mm is resting on one of its rectangular faces on the ground. The base edges on the ground perpendicular to the PP. One of the longer edges of the prism is touching the PP. The station point is 30mm to the right of the top face of the prism. The station point is 70mm from the PP and 60 mm above the ground. Draw the perspective projection of the object

20. A triangular pyramid of base edges 40mm long and axis 70mm is resting on one of the base edges on the ground with the base being parallel to the PP. The apex is nearer to the PP and 20mm behind it. The station point is 50mm to the right of the axis and 60mm from the PP. The horizon is 70mm from the ground. Draw the perspective view oftheobject.