vertical lift versus slope
the work done is the same (force * distance), but with a say 30 degree slope you need only half the force but need to travel twice as far to raise the load the same height vertically
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how do I calculate the input work of an inclined plane
An incline plane allows less effort (pushing force) to be used to move a weight to a higher level without lifting straight up. You have to push it a longer distance, so ideally, the same amount of work is done, but really, due to friction more work is done. Maybe you can't lift a 500 pound barrel, but you can roll it up an inclined plane into the back of a truck.
While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.While lifting it straight up is harder, overall it is less work because you do not have to contend with the friction of the inclined plane. Overcoming that friction is work done which is totally wasted.
Yes.
The purpose is to reduce the force that must be applied to raise a load. The inclined plane and rollers were used in building the pyramids in Egypt. To raise a body vertically a force must be applied that is equal to the weight of the body. The amount of work done in raising the body is equal to its weigt times the distance through which it is raised. If friction is ignored, the work done using the inclined plane will be exactly equal to the work done in lifting the body directly.