A ball of mass ' m ' is attached to the free end of a string of… | MHT CET 2023 (11 May, Shift 1)

Q9MHT CET 2023 · 11 MAY · SHIFT 1Easy

Conical Pendulum & Funnel

A ball of mass ' $m$ ' is attached to the free end of a string of length ' $l$ '. The ball is moving in horizontal circular path about the vertical axis as shown in the diagram.

The angular velocity ' $\omega$ ' of the ball will be [ $T =$ Tension in the string.]

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Answer: (d)

Radius of the circle $r = l\sin\theta$ .
Horizontal component of tension gives centripetal force: $T\sin\theta = m\omega^2 l\sin\theta$ .
$T = m\omega^2 l \Rightarrow \omega = \sqrt{\frac{T}{ml}}$
So the answer is (d).

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Conical Pendulum & Funnel question from MHT CET 2023 (11 May, Shift 1)

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