Q.

In the given figure mass of block A is m and that B is 2m. They are attached at the ends of spring and kept on horizontal surface. Now the spring is compressed by  x0 and released. Find displacement of block B by the time compression of the spring is reduced to x02. Assume both are slipping in opposite directions together.
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a

x04

b

x03

c

x06

d

x02

answer is C.

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Detailed Solution

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Since net force on the system of two blocks is zero.
xA+xB=x02
mxA=2mxB
xB=x06
 

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