JEE Advanced · Physics · 8. Rotational Motion
A horizontal forceis applied at the centre of mass of a cylindrical object of massand radius, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is. The centre of mass of the object has an acceleration. The acceleration due to gravity is. Given that the object rolls without slipping, which of the following statement(s) is (are) correct?
- A For the same , the value of does not depend on whether the cylinder is solid or hollow.
- B For a solid cylinder, the maximum possible value of is .
- C The magnitude of the frictional force on the object due to the ground is always .
- D For a thin-walled hollow cylinder, .
Answer & Solution
Correct Answer
(D) For a thin-walled hollow cylinder, .
Step-by-step Solution
Detailed explanation
Let moment of inertia For pure rolling,
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