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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A pendulum consisting of a small sphere of mass $M$ suspended by an inextensible and massless string of length $l$ is made to swing in a vertical plane. If the breaking strength of the string is $2 M g$ , then the maximum angular amplitude of the displacement from the vertical can be -

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Answer:

Solution:

$∴ T_{m a x} = \frac{m v_{A}^{2}}{l} + m g$

$∴ 2 m g = \frac{m v_{A}^{2}}{l} + m g \Rightarrow v_{A} = \sqrt{g l}$

$∴ v^{2} = v_{A}^{2} - 2 g l (1 - \cos θ)$

$∴ 0 = g l - 2 g l (1 - \cos θ)$

$\Rightarrow \cos θ = 1 / 2 \Rightarrow θ = 60 °$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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