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Two blocks each of mass 'm' are attached to the ends of a spring of force constant k. The system is placed on a rough surface having coefficient of friction Y. The maximum initial compression that can be given to the spring so that when released the blocks do not move is ___________

Two blocks each of mass 'm' are attached to the ends of a spring of force constant k. The system is placed on a rough surface having coefficient of friction Y. The maximum initial compression that can be given to the spring so that when released the blocks do not move is ___________ 

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear paidepelly


Let the maximum compression given to spring is x


Force acting on a block is

Normal reaction (N) in the verticle direction from the surface

mg force in the downward direction.

spring force =kx

frictional force =YN in the apposite direction of spring force


now block will not move if YN≥kx

or x ≤YN/k

    x≤Ymg/k


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