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Block A of mass m is placed on a plank B...

Block `A` of mass m is placed on a plank `B` . A light support `S` is fixed on plank `B` and is attached with the block A with a spring of spring constant K. Consider that initialy spring is in the natural length, and the system is at rest. Find the maximum compression in the spring, if the plank `B` is moved with a constant acceleration 'a' . (All the surface are smooth) :

A

`(ma)/(2K)`

B

`(2ma)/(K)`

C

`(ma)/(K)`

D

`(2ma)/(K)`

Text Solution

Verified by Experts

The correct Answer is:
B
Block `A` of …………..

In the frame of `B`
`W_("pseduo")+W_("spring") = Delta K = 0`
`+ ma x_(max) + (- (1)/(2)Kx_(max)^(2))=0`
`x_(max) = (2ma)/(K)`
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