statics of rigid bodies 2s1516

STATICS OF RIGID BODIES

TIP-QC 13 November 2015 1:30- 4:30 PM Lecturer: Richard S Regidor

Problem 1: The 20-kg flowerpot is suspended from three wires and supported by the hooks at B and C. determine the tension in AB for equilibrium.

a. 150 N c. 157 N b. 165 N d. 118 N



Problem 2: The 20-kg homogenous sphere rests on the two inclines as shown. Determine the contact force at A.

a. 186.1 N c. 101.60 N b. 175.3 N d. 123.4 N



Problem 3: The 150-lb man attempts to lift himself and the 10-lb seat using the rope and pulley system shown. Determine the force at A needed to do so.

a. 16 lbs c. 150 lbs b. 30 lbs d. 10 lbs



Problem 4: Calculate the forces in members BE and BD of the loaded truss.



Problem 5: The coefficients of static and kinetic friction between the 100-kg block and the inclined plane are 0.30 and 0.20, respectively. Determine (a) the friction force F acting on the block when P is applied with a magnitude of 200 N to the block at rest (b) the force P required to initiate motion up the incline from rest and (c) the friction force F acting on the block if P = 600 N.



Problem 6: The magnitude of force P is slowly increased. State the value of P which would cause slipping and tipping. Neglect any effect of the size of the small feet.



Problem 7: What is the minimum magnitude of the weight Q that can hold the weight P = 90 kN in equilibrium if the coefficient of friction between the cord and the pulley is µ = 0.40? Assume that the pulley is locked and cannot turn.

a. 32.34 kN c.316.22 kN b. 25.61 kN d. 84.32 kN



Problem 8: a wedge with an angle of 20O is forced under a weight of 1000 lbs held against a vertical wall A. If the angle of friction Φ is 15O for all surfaces, what horizontal force P is necessary to start the wedge to the right?



Problem 9: The supports A and B of the cable shown are at the same level and the maximum tension in the cable is 20 kN. Find the sag of the cable at its lowest point.

a. 3.27 m c. 1.51 m b. 2.26 m d. 1.87 m



Problem 10: A cable supports a load of 50 kg/m uniformly distributed with respect to the horizontal and is suspended from the two fixed points located as shown. Determine the maximum and minimum tensions in the cable.



Problem 11: Calculate the tension T required to steadily pull the cable over a roller support on the utility pole. Neglect the effects of friction at the support. The cable, which is horizontal at A, has a mass of 3 kg/m. Also, determine the length of cable from A to B.



Problem 12: Find the total length L of the cable which will have the configuration shown when suspended from points A and B.



Problem 13: Determine the x coordinate of the centroid of the line.

a. 2.338 c. 3.117 b. 3.236 d. 1.987



Problem 14: Determine the location of the centroid of the area shown.



Problem 15: Determine the volume V and the total surface area of the complete ring which is shown in section. All four radii of the cross section are 10 mm.



Problem 16. Calculate the moment of inertia of the shaded area about the x-axis.



Problem 17. Determine the product of inertia of the shaded area about the x and y axes. a. 3 in4 c. 6 in4 b. 4 in4 d. 8 in4



Problem 18: Determine the product of inertia of the area shown below with respect to the centroidal x and y axes.

a. -9011 mm4

b. -5480 mm4 c. -7220 mm4 d. -5450 mm4

statics of rigid bodies 2s1516

Documents

richard s regidor problem

pm lecturer

magnitude of force p

horizontal force p

weight p

friction force f

value of p

contact force