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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A particle is given an initial speed $u$ inside a smooth spherical shell of the radius $R = 1 m$ that it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is

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Answer:

Solution:

$u^{2} = 5 g R$

$∴ v^{2} = u^{2} - 2 g R$

$= 5 g R - 2 g R = 3 g R$

Tangential acceleration at $B$ is

$a_{t} = g$ (downwards)

Centripetal acceleration at $B$ is

$a_{c} = \frac{v^{2}}{R} = 3 g$

$∴$ Total acceleration will be

$a = \sqrt{a_{C}^{2} + a_{t}^{2}} = g \sqrt{10}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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