First slide
Friction on inclined plane of angle more than angle of repose
Question

A body is projected up along an inclined plane from the bottom with speed v1. If it reaches the bottom of the plane with a velocity v2, find v1v2if θ is the angle of inclination with the horizontal and µ be the coefficient of friction.

Moderate
Solution

v1=2gl(sinθ+μcosθ)


v2=2gl(sinθ-μcosθ)

v1v2=sinθ+μcosθsinθ-μcosθ

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