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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
981445_3233f2826aa34214bd286b3b023727e0.png


A
a1=a2cosθ
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B
a2=a1cosθ
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C
a1=a2
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D
None of these
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Solution

The correct option is C 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 
$$a_1=a_2\cos \theta$$

1141896_981445_ans_a7582a7df99d44f4bfb2363c00fe314e.png

Physics

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