Questions
A solid sphere of mass m and radius r is released from rest from the given position. If it rolls without sliding on the circular track of radius R, its speed when it reaches its lowest position will be
detailed solution
Correct option is B
When the sphere reaches its lowest position it loses gravitational potential energy by ∆U and gains a kinetic energy by ∆K, where ∆U = -mg(R - r) and ΔK=12mvc21+K2R2=12mv21+25=710mv2 According to conservation of energy, ΔU+ΔK=0 or −mg(R−r)+710mv2=0 or v=107g(R−r)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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