In a circus,a stuntman rides a motorbike on a | vedclass

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(C) For a body to complete a vertical circular motion,the forces acting on the body at the highest point are gravity $(mg)$ and the normal reaction $(

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$\sqrt{g r}$

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(C) For a body to complete a vertical circular motion,the forces acting on the body at the highest point are gravity $(mg)$ and the normal reaction $(N)$.At the highest point,the net centripetal force is provided by the sum of gravity and normal reaction: $mg + N = \frac{mv^2}{r}$.To find the minimum speed,we consider the limiting case where the normal reaction $N$ becomes zero just as the body passes the highest point.Thus,$mg = \frac{mv_{min}^2}{r}$.Solving for $v_{min}$,we get $v_{min}^2 = gr$,which implies $v_{min} = \sqrt{gr}$.Therefore,the minimum speed the stuntman must maintain at the highest point is $\sqrt{gr}$.

In a circus,a stuntman rides a motorbike on a vertical circular track of radius $r$. Find the minimum speed he must maintain at the highest point of the track.

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