Question

A ball of mass m is attached to one end of the light rod of length l the other end of which is hinged what minimum velocity v should be imported walton but it can complete the circle

Answer 1

Answer:

what is the meaning of the velocity E and the Walton

Answer 2

Given that,

Mass of the ball = m

Length of rod = l

In non uniform circular motion, the linear velocity, linear momentum and kinetic energy of particle will change.

We know that,

If the ovject makes a circle then the final velocity of the object at bottom is

$v=\sqrt{5gl}$

We need to calculate the minimum velocity

Using work energy theorem

$W=K.E_{f}-K.E_{i}$

$mgl=\dfrac{1}{2}mv_{f}^2-\dfrac{1}{2}mv_{i}^2$

Put the value into the formula

$mgl=\dfrac{1}{2}m(\sqrt{5gl})^2-\dfrac{1}{2}mv_{i}^2$

$v_{i}^2=5gl-2gl$

$v_{i}=\sqrt{3gl}$

Hence, The minimum velocity of the ball is $\sqrt{3gl}$