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Figure shows two blocks each of mass m s...

Figure shows two blocks each of mass m system is released from rest. If acceleration of blocks A and B at any instant (not initially) are `a_(1)` and `a_(2)`, respectively. Then

A

`a_(1)=a_(2) costheta`

B

`a_(2)=a_(1) costheta`

C

`a_(1)=a_(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Let at any time, their velocites are `v_(1)` and `v_(2)`, respectively. Then `v_(1)=v_(2) cos theta`
Differentiating: `a_(1)=a_(2) cos theta =v_(2) sin theta (d theta)/(dt)`
Hance, none of them is correct.
[Note: Option (a) is correct initially, because initially `v_(2) = 0`].
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