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

Options

A. `a_(1)=a_(2) cos=theta`
B. `a_(2)=a_(1) cos=theta`
C. `a_(1)=a_(2)`
D. None of these

Answer

D

Explanation

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`].