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Q.

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 200Nm-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 D.

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Detailed Solution

EA=EB

 12mvA2=12×200×(13-7)2 (m=2 kg)

  vA=60 m/s

 At A, N=mvA2R=(2)(60)25=1440 N

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