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Q. A thin rod $AB$ is moving in a vertical plane. At a certain instant when the rod is inclined at $60^{\circ}$ to the horizontal the point $A$ is moving horizontally with $3\, m / s$ while $B$ is moving in the vertical direction. Then velocity of $B$ isPhysics Question Image

System of Particles and Rotational Motion

Solution:

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along the riged rod comporent of vertical will be same
$3 \cos 60^{\circ}= V _{ B } \cos 30^{\circ}$
$V _{ B }=\frac{3 x }{2} \times \frac{2}{\sqrt{3}}=\sqrt{3}$