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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Vertical circular motionEasy2 minQB

PhysicsEasysingle choice

A small sphere of mass $m$ suspended by a thread is first taken aside so that the thread forms a right angle with the vertical and then released. The total acceleration of the sphere when it makes an angle $θ$ with the vertical is

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Answer:

Solution:

Between A and B, $mgL cos θ = \frac{1}{2} {mv}_{B}^{2}$

$∴ v_{B}^{2} = 2 gL cos θ$

Now, $a_{r} = \frac{v_{B}^{2}}{L} = 2 g cos θ$

and $a_{t} = g sin θ$

$∴ a = \sqrt{a_{t}^{2} + a_{r}^{2}} = g \sqrt{1 + 3 {cos}^{2} θ}$

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Vertical circular motion

⏱ 2mℹ️ Source: QB

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