A collar B of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5 m. The spring lying in the plane of the circular track and having spring constant 200 N m-1 is undeformed when the collar is at A. If the collar starts from rest at B, the normal reaction exerted by the track on the collar when it passes through A is
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a
360 N
b
720 N
c
1440 N
d
2880 N
answer is C.
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Detailed Solution
Initial extension will be equal to 6 m. Initial energy =12(200)(6)2=3600 JReaching A, we get 12mv2=3600 JFrom FBD at A, we get N=mv2R=72005=1440 N
A collar B of mass 2 kg is constrained to move along a horizontal smooth and fixed circular track of radius 5 m. The spring lying in the plane of the circular track and having spring constant 200 N m-1 is undeformed when the collar is at A. If the collar starts from rest at B, the normal reaction exerted by the track on the collar when it passes through A is