Questions
A small solid sphere of radius r rolls down an incline without slipping which ends into a vertical loop of radius R. Find the height above the base so that it just loops the loop
detailed solution
Correct option is D
The minimum velocity at P, top of the loop, should b v=g(R−r) if the sphere keeps on rolling at top v=ωRmgh=12mv2+12Iω2+mg(2R−r) =12mg(R−r)+1225mR22ω2+mg(2R−r)=710mg(R−r)+mg(2R−r)[ωR=v=g(R−r)]=mg10(27R−17r) or h=110(27R−17r)Talk 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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