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Two blocks are connected by a spring. Th...

Two blocks are connected by a spring. The combination is suspended, at rest, from a string attached to the ceiling, as shown in fig. The string breaks suddenly.
Immediately after the string breaks, what is the initial downward acceleration of the upper block of mass 2m?

Text Solution

Verified by Experts

When string is not cut:
FBD of A block
`kx=mg+T`
FBD of B block
`T=mg`
when string is cut:
FBD of A block
`kx-mg=ma_(A)`
`2mg-mg=ma_(A)`
`=a_(A)=g` (upwards)
FBD of B block
`ma_(B)=mg`
`a_(B)=g` (downwards). ltBRgt
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