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JEE Main 2024 (1 Feb, Shift 1) · Conical Pendulum & Funnel

Conical Pendulum & Funnel question from JEE Main 2024 (1 Feb, Shift 1)

Q6JEE Main 2024 · 1 FEB · SHIFT 1Easy

Conical Pendulum & Funnel

A ball of mass $0.5\text{ kg}$ is attached to a string of length $50\text{ cm}$ . The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400\text{ N}$ . The maximum possible value of angular velocity of the ball in $\text{rad/s}$ is:

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Answer: (c)

For fast whirling, the tension supplies the centripetal force: $T = m\omega^2 L$ (weight neglected).
$400 = 0.5 \times \omega^2 \times 0.5$
$\omega^2 = 1600 \Rightarrow \omega = 40$ rad/s
So the answer is (c) 40.

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