Question

In the following diagram, the blocks A and B moves with velocities $v_1$ and $v_2$. What is the ratio of $v_1/v_2$.

Answer 1

Here, the length of the string connecting the two block is constant so, it is constraints motion.

The component of the velocity of the block A along the string is V1(cos(θ1))V1(cos⁡(θ1)).

Since, the length of the string is constant so, the two velocities along the string must be same.

i.e.

$V_1\cos {\theta }_1=V_{2}cos{\theta }_2$

$\frac{V_1}{V_2}=\frac{\cos {\theta }_2}{cos{\theta }_1}$