Simple Machines: Force required to push a box up a ramp.
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1. A 400-lb piano on frictionless casters is to be pushed up a 20 ft ramp to a loading platform 3 ft above the ground. How much force is needed?
2. A block weighing 250 lbs is to be raised into a wagon 30 in high by a boy who can only exert a force of 50 lbs.
(a) what is the shortest board he must use as an inclined plane when there is no friction?
(b) where a force of 20 lbs is allowed for friction?
(c) what is the efficiency in (b)?
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Solution Summary
The force required to push object up an incline (with and without friction) and the efficiency is calculated.
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1. A 400-lb piano on frictionless casters is to be pushed up a 20 ft ramp to a loading platform 3 ft above the ground. How much force is needed?
(The title of the posting is simple machine hence dealing in this way)
The ratio of the weight (load) to the force requires (effort) is called mechanical advantage of a simple machine. Inclined plane is a simple machine.
The component of the weight of the piano along the ramp will be W sin ...
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