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(a) A rigid body of radius of gyration k...

(`a`) A rigid body of radius of gyration `k` and radius `R` rolls without slipping down a plane inclined at an angle `theta` with the horizontal. Calculate its acceleration and the frictional force acting on it.
(`b`) If the body be in the form of a disc and `theta=30^(@)`, what will be the acceleration and the frictional force acting on it.

Text Solution

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When the body is placed on the inclined plane, it tries to slip down and hence a static friction `f` facts upwards. This friction provides a torque which causes the body to rotate. Let `A_(CM)` be the linear acceleration of centre of mass and `alpha` be the angular acceleration of the body.
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