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For shown situation find the maximum elo...

For shown situation find the maximum elongation in the spring. Neglect friction everywhere. Initiallthe blocks are at rest and spring is unstreched.

A

`4F/3K`

B

`3F/4K`

C

`4F/K`

D

`2F/K`

Text Solution

Verified by Experts

The correct Answer is:
(A)
By using reduced mass concept this system can be reduced to
Where `mu=((3m)(6m))/(3m + 6m)=2m` and `F_1 =` Force on either block w.r.t. centre of mass of the system
`= F/2 + (3m)a_(cm) = F/2 + (3m)((F-F//2)/(9m)) = F/2+F/6=2/3F`
Now from wrok energy theorm, `2F/3x_m = 1/2Kx_(m)^(2) rArr x_(m) = (4F)/(3K)`
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