In a vertical circle of radius r , at what point in its path a particle has tension equal to zero if

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5.Work, Energy, Power and Collision

easy

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

Highest point

Lowest point

Any point

At a point horizontally from the centre of circle of radius $r$

Solution

(a) Let the tension in the string at the highest point be $T$ Minimum speed required by the particle at the highest point to complete the vertical circular motion is $\sqrt{g r}$

$\therefore \quad \frac{m v^{2}}{r}=T+m g$

OR $\quad \frac{m(g r)}{r}=T+m g \quad \Longrightarrow T=0$

Thus tension can be zero at the highest point.

Standard 11

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Solution

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