Questions
A thick walled hollow sphere has outer radius R. It rolls down an inclined plane without slipping and its speed at the bottom is v. If the inclined plane is frictionless and the sphere slides down without rolling, its speed at the bottom is 5v/4. What is the radius of gyration of the sphere?
detailed solution
Correct option is C
Case 1:mgh=12mv2+12mk2ω2 Case 2:mgh=12m×5v42∴12mk2v2R2+12mv2=12m×25v216⇒k2R2+1=2516 ⇒k=3R4Talk to our academic expert!
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A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is
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