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Q.

In figure, blocks A and B move with velocities $v_{1}$ and $v_{2}$ along horizontal direction. Find the ratio of $\frac{v_{1}}{v_{2}}$

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a

$\frac{C o s θ_{2}}{C o s θ_{1}}$

b

$\frac{S i n θ_{1}}{S i n θ_{2}}$

c

$\frac{C o s θ_{1}}{C o s θ_{2}}$

d

$\frac{S i n θ_{2}}{S i n θ_{1}}$

answer is C.

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Detailed Solution

Question Image

$l_{1} + l_{2} = c$

$\frac{d l_{1}}{d t} + \frac{d l_{2}}{d t} = 0$

$- V_{1} \cos θ_{1} + V_{2} \cos θ_{2} = 0$

$\frac{v_{1}}{v_{2}} = \frac{\cos θ_{2}}{\cos θ_{1}}$

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