Download - INCLINE PLANE FAMILY
INCLINE PLANE FAMILY
Inclined planes multiply and redirect force
Incline Plane produces a MA by increasing distance
through which the force must move.
Real World Examples:
• Ramp
• Playground slide
• Can you think of one?
Incline Plane Calculating Mechanical
Advantage
IMA= Length of slope Height
IMA = Fo/Fi
Distance Force
IP: Question # 1 Sam broke his hand while juggling bowling
balls and cannot lift a thing! Sam is moving to Wagadugu and must put all of his belonging into storage. To get his stuff into the moving truck, Sam decides to set-up a simple machine. He uses a ramp with the length (slope) of 12.5 m to reach the back of the moving truck which is 5 m off the ground. Calculate the ideal mechanical advantage of Sam’s simple machine? (Can you guess where Wagadugu is?)
IP: Question #2 You got roped into helping your parents'
friend move. You are loading some pretty heavy boxes, but luckily they have a ramp on the back of the truck. The truck is 1.5 meters of the ground and the ramp is 6 meters long. What is the IMA of this ramp?
IP: Question #3 A ramp with a mechanical advantage of 6 is
used to move a 36 Newton load. What input force is needed to push the load up the ramp?
IP: Question #4 Katrina moves a box full of box with a force of
500 Newtons up to height of 6 meters, using a ramp. How much work did Katrina do?
Wedge similar in shape to an inclined plane
used as either separating or holding devices.
A difference between an inclined plane & wedge. -An inclined plane remains stationary
while the wedge moves.
Wedge IMA = Slope of the Wedge
Thickness
IMA = Fo/Fi
Wedge: Question # 1
A door stop has a slope of 22 cm and a thickness of 4cm. Draw a diagram of the door stop (wedge) and label the slope and thickness. Calculate the ideal mechanical advantage.
Wedge: Question #2 Blake used a wedge that exert an output
force of 14 Newtons and had a MA of 4. What was the input force?
Mechanical Advantage
Inclined Plane
MA>1
Wedge
MA>1
Screw modified version of the inclined plane
think of threads of the screw as a type of circular ramp (or inclined plane).
screw is often turned by another simple machine such as a lever or a wheel and axle.
When a screw is turned once, it advances by the distance between adjacent screw threads. This distance is commonly called the "pitch”.
Screw
IMA = circumference/pitch
IMA = Fo/Fi
Calculating Total Distance TD = Circumference of the screw × # of threads
Screw: Question # 1 Wyatt uses a wooded screw to hold
together the pieces of the chair he is making. If the radius of the screw is 2 cm and the pitch of the screw is 0.55 cm, then what is the mechanical advantage of the screw?
Screw: Question #2 George watches Wyatt build his chair.
From all of his calculations, George believes that Wyatt has done 50J of work placing together one part of the chair. If George measures Wyatt’s input force to be 200 Newtons, then what be the distance that the screw travelled?
Screw: Question #3 If the circumference of a screw is 3
millimeters and the screw has 6 threads, then what is the total distance that the screw can travel?