Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# A Stone is Fastened to One End of a String and is Whirled in a Vertical Circle of Radius R. Find the Minimum Speed the Stone Can Have at the Highest Point of the Circle. - Physics

Sum

A stone is fastened to one end of a string and is whirled in a vertical circle of radius R. Find the minimum speed the stone can have at the highest point of the circle.

#### Solution

Let m be the mass of the stone.
Let v be the velocity of the stone at the highest point.
R is the radius of the circle.
Thus, in a vertical circle and at the highest point,

we have :

$\frac{\text{mv}^2}{\text{R}} = \text{mg}$

$\Rightarrow \text{v}^2 = \text{Rg}$

$\Rightarrow \text{v} = \sqrt{\text{Rg}}$

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#### APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 7 Circular Motion
Q 10 | Page 114