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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A body slides down on a frictionless track which ends in a circular loop of diameter $D$ . The minimum height $h$ in terms of $D$ so that the body may just complete the circular loop, is

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Answer:

Solution:

By conservation of energy,
$\frac{1}{2} m v^{2} = m g h$
$v = \sqrt{2 g h}$ ...(i)
For looping the loop, the lower velocity must be greater than $\sqrt{5 g r}$
$v_{\min} = \sqrt{5 g r} = \sqrt{\frac{5 g D}{2}}$ ...(ii)
From equation (i) and (ii),
$2 g h = \frac{5 g D}{2}$
$h = \frac{5 D}{4}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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