Question

Two infinitely long rods are arranged on a plane making an angle θ with each other, as shown in the figure.

The rod B starts to move with a uniform velocity v, in a direction perpendicular to rod A. Thus, the point of

intersection P moves with a horizontal velocity vp. Which of the following statements is true?
A. vP increases with increasing θ.

B. vP decreases with increasing θ.

C. vP is independent of θ.

D. vP is independent of v​

Answer 1

$v_p$ decreases with increasing θ

Therefore, option (B) is correct.

Explanation:

The figure is attached

From the figure we can see that

$\tan\theta=\frac{v}{v_p}$

From this it is clear that as $\theta$ increases, $\tan\theta$ also increases

Therefore, $v_p$ decreases

Therefore, the correct option is option (B)

Hope this answer is helpful.

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