Question

$Figure$ 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 $a_1$ and $a_2$, respectively, then

• A. $a_1=a_2\cos \theta$
• B. $a_2=a_1\cos \theta$
• C. $a_1=a_2$
• D. None of these

Answer 1

Answer: (D)

None of these

Let the velocity of A be $v_1$ and velocity of B be $v_2$

since velocity at every point of string must be equal

$v_1=v_2\cos \theta$ ...........(1)

Differentiating equation (1) we get

$a_1=a_2\cos \theta$