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Two blocks A and B of equal masses are a...

Two blocks A and B of equal masses are attached to a string passing over a smooth pulley fixed to a wedge as shown in figure. Find the magnitude of acceleration of centre of mass of the two blocks when they are released from rest. Neglect friction.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`a="Net pulling force" /"Total mass"`

`=(mgsin60^@-mgsin30^@)/(2m)`
`a=((sqrt3-1)/(4))g`
`|a_1|=|a_2|=a`
`:. |a_1+a_2|=sqrt2a` at `90^@`
`a_(COM)=(m_1a_1+m_2a_2)/(m_1+m_2)`
`=1/2(a_1+a_2)` (as `m_1=m_2`)

`:. |a_(COM)|=(|a_1+a_2|)/(2)`
`=(sqrt2a)/(2)`
`=a/sqrt2=((sqrt3-1)/(4sqrt2))g`
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