Question

a body is moving in vertical circle of radius 'R' then the minimum velocity of the body highest point is given by vmin = ​

Answer 1

Answer:

The velocity of a body moving in a vertical circle of radius r is

at the lowest point of the circle. What is the ratio of maximum and minimum radius r is tension?

Answer 2

Given:

A body moves a vertical circle of radius $R$.

To Find:

The minimum velocity of the body at the highest point, $v_{min}=?$

Solution:

We know that a body moving in circular motion experiences a centripetal force,

                                         $F=\frac{mv^2}{R}$

towards the center, where $m$ is the mass of that body and $R$ is the radius of the circle.

In this case, at the highest point, the centripetal force is needed in the downward direction, so it will be provided by gravitational force.

                                        $mg=\frac{mv_{min}^2}{R}$

                                   ⇒ $v_{min}=\sqrt{gR}$

where, $g$ is the acceleration due to gravity.

Hence, the minimum velocity of the body at the highest point of a vertical circle of radius, $R$, $v_{min}=\sqrt{gR}$.