First slide

Application of Newtons laws

Question

In the figure, blocks A and B move with velocities v₁ and v₂ along horizontal direction. Find the ratio of v₁/v₂.

Moderate

A

$\frac{\sin θ_{1}}{\sin θ_{2}}$
B

$\frac{\sin θ_{2}}{\sin θ_{1}}$
C

$\frac{\cos θ_{2}}{\cos θ_{1}}$
D

$\frac{\cos θ_{1}}{\cos θ_{2}}$

Solution

$From figure l_{1} + l_{2} = C$
$\begin{array}{l} or \frac{d l_{1}}{d t} + \frac{d l_{2}}{d t} = 0 \\ - v_{1} \cos θ_{1} + v_{2} \cos θ_{2} = 0 \\ or \frac{v_{1}}{v_{2}} = \frac{\cos θ_{2}}{\cos θ_{1}} \end{array}$

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