A rigid rod of length 1 m is resting at an angle θ

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A rigid rod of length 1 m is resting at an angle θ = 45° as shown in the figure. The end P is dragged with a velocity of U = 5 m/s to the right. At the instant shown, the magnitude of the velocity V(in m/s) of point Q as it moves along the wall without losing contact is

1. 5
2. 6
3. 8
4. 10

Correct Option: A

V_P = r _Pω
⇒ 5 = 1 × sin 45° × ω

⇒ ω =	5
	1 × sin45°

V_Q = r _Qω

⇒ V_Q = 1 × cos45° ×	5
	1 × sin45°

= 5 m/s