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Q. A bob of mass m attached to an inextensible string of length l is suspended from a vertical support. The bob rotates in a horizontal circle with an angular speed $\omega \,rad/s$ about the vertical support. About the point of suspension

JEE MainJEE Main 2014System of Particles and Rotational Motion

Solution:

$\tau=mg \times l \,\sin \,\theta $ (Direction parallel to plane of rotation of particle)
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as $\tau$ is perpendicular to $\vec{L}$, direction of $L$ changes but magnitude remains same