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BodhiAI
Nov. 2, 2019

Rolling on an Inclined Plane:

Rolling on an Inclined Plane:

When a body of mass m and radius R rolls down on inclined plane of height ‘h’ and angle of inclinationθ, it loses potential energy. However it acquires both linear and angular speeds and hence, gain kinetic energy of translation and that of rotation.

By conservation of mechanical energy  

(1) Velocity at the lowest point:

(2) Acceleration in motion :From equation v2 = u2 + 2aS

By substitutingu = 0, and , we get

(3) Time of descent: From equation v = u + 2at

By substitutingu = 0 and value of v and a  from above expressions

 

From the above expression, it is clear that

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