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Q.

A solid cylinder of mass 3 kg is rolling without slipping on a horizontal smooth surface with velocity 4 ms-1. It collides with a smooth horizontal spring of force constant 200 Nm-1. The maximum compression produced in the spring will be

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a

0.49 m

b

0.2 m

c

0.5 m

d

0.7 m

answer is C.

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Detailed Solution

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KE OF TRANSLATION IS EQUAL TO THE WORKDONE IN COMPRESSING THE SPRING.AFTER THE IMPACT ROTATIONAL MOTION OF THE CYLINDER DOES NOT STOP.

12mv2= 12kx2⇒x= vmk⇒x=43200m= 0.49 m,

 

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