Pulley system for block piled on block on an inclined plane
This article discusses a scenario/arrangement whose statics/dynamics/kinematics can be understood using the ideas of classical mechanics.
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Consider one block placed on top of another, with the bottom block being and the block on top being . is on a fixed inclined plane making an angle of with the horizontal and the surface of contact between and is parallel to the inclined plane, i.e., that surface also makes an angle of with the horizontal. There is a pulley system connecting and , with both sides of the pulley rope being parallel to the inclined plane.
Consider the following conventions:
- is the limiting coefficient of static friction between and the inclined plane.
- is the coefficient of kinetic friction between and the inclined plane.
- is the limiting coefficient of static friction between and .
- is the coefficient of kinetic friction between and .
Assume that and .
We assume the pulley and string to be massless, so that the tension at both ends of the string is equal.