Question

# In the given figure find the velocity of the block $$M$$, if both the rope ends are pulled with a velocity $$v$$.

A
2vcosθ
B
vcosθ
C
v2cosθ
D
2vcosθ

Solution

## The correct option is B $$\displaystyle \frac {v}{\cos \theta}$$$$l^{2}=x^{2}+y^{2}$$Differentiating with respect to t,$$2l \displaystyle \frac{dl}{dt}=0 + 2y \displaystyle \frac{dy}{dt}$$ ($$\because x$$ is constant its derivative is zero)$$\displaystyle \frac{dy}{dt}=\displaystyle \frac{dl/dt}{y/l}=\displaystyle \frac{v}{\cos \theta }$$ Physics

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