In a vertical circle of radius r,at what poin | vedclass

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(A) Let the tension in the string at the highest point be $T$. The minimum speed required by the particle at the highest point to complete the vertica

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Highest point

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(A) Let the tension in the string at the highest point be $T$. The minimum speed required by the particle at the highest point to complete the vertical circular motion is $v = \sqrt{gr}$.At the highest point,the forces acting towards the centre are the tension $T$ and the weight $mg$. The centripetal force is provided by these forces:$\frac{mv^2}{r} = T + mg$Substituting $v^2 = gr$ into the equation:$\frac{m(gr)}{r} = T + mg$$mg = T + mg$$T = 0$Thus,the tension is zero at the highest point when the particle is just able to complete the vertical circle.

In a vertical circle of radius $r$,at what point in its path does a particle have tension equal to zero if it is just able to complete the vertical circle?

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