Q.

Figure shows two blocks, each of mass m. The system is released from rest. If accelerations of blocks A and B at any instant (not initially) are a1 and a2, respectively, then .

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a

a1=a2cos⁡θ

b

a2=a1cos⁡θ

c

a1=a2

d

None of these

answer is D.

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Detailed Solution

Let at any time, their velocities are v1 and v2, respectively.Then v1=v2cos⁡θDifferentiating: a1=a2cos⁡θ−v2sin⁡θdθdtHence, none of them is correct.[Note: Option (a) is correct initially, because initially v2=0]
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Figure shows two blocks, each of mass m. The system is released from rest. If accelerations of blocks A and B at any instant (not initially) are a1 and a2, respectively, then .