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A block A of mass m is placed on a frict...

A block A of mass m is placed on a frictionless horizontal surface. Another block B of the same mass is kept on A and connected to the wall with the helpf of a spring of force constant K as shown in the figure. The coefficient of friction between the blocks A and B is `mu`. The blocks move together execting simple harmonic motion of amplitude 'a'. What is the maximum value of the fricitional force between A and B ?

A

KA

B

`(KA)/(2)`

C

zero

D

`mu_(s)` mg

Text Solution

Verified by Experts

The correct Answer is:
B

`kx - f = ma, f = ma`
`kx = 2r, kA = 2 f_(max)`
`rArr f_(max) = (kA)/(2)`
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