One end of the rigid rod (point A) is moving with a constant velocity v in a horizontal direction. Other end of the rod (point B) is moving vertically. Which of the following statements is/are correct, when the rod is inclined at angle $α$ ?

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Magnitude of acceleration of point B is $\frac{v^{2}}{l \sin^{3} α}$

Magnitude of angular acceleration of the rod is $\frac{v^{2}}{l^{2} \sin^{3} α}$

Magnitude of angular velocity of the rod is $\frac{v}{l \sin α}$

Magnitude of angular velocity of the rod is $\frac{v \sin α}{l}$

answer is A, C.

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Detailed Solution

$V_{B} = V \cot α a_{B} = \frac{d V_{B}}{d t} = V \cos e c^{2} α \frac{d α}{d t} = V \cos e c^{2} α ω = V \cos e c^{2} α \frac{V}{l \sin α}$

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