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Two ring of mass m and 2m are connected ...

Two ring of mass m and `2m` are connected with a light spring and can slide over two frictionless parallel horizontal rails as shown in figure. Ring of mass m is given velocity `'v_(0)'` in horizontal direction as shown. Calculate the maximum stretch in spring during subsequent motion.

A

`sqrt(m/k)v_0`

B

`sqrt((3m)/k)v_0`

C

`sqrt("2m"/"3k")v_0`

D

`sqrt((2m)/k)v_0`

Text Solution

Verified by Experts

The correct Answer is:
C
`1/2kx_"max"^2=1/2muv_0^2`
`rArr x_"max"=sqrt(mu/k).v_0=sqrt((2m)/(3k))v_0`
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