A bead of mass ' m ' slides without friction on the wall of a vertical circular hoop of radius ' R ' as shown in figure. The bead moves under the combined action of gravity and a massless spring ( k ) attached to the

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Correct answer: A. 3 Rg+ kR^2 ~m

aligned Work done by gravity & =m g(2 R-R 60^ ) & =(3 m g R)/(2) aligned aligned Work done by spring & =-(1)/(2) k(0^2-R^2) & =(1)/(2) k R^2 aligned Net work = change in kinetic energy i.e. (3 m g R)/(2)+(k R^2)/(2)=(1)/(2) m v^2 or v^2=3 g R+(k R^2)/(m) or v= 3 g R+(k R^2)/(m)

A bead of mass ' m ' slides without friction on the wall of a...

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