A small heavy block is attached to the lower end of a light rod of length l which can be rotated about its clamped upper end. What minimum horizontal velocity should the block be given so that it moves in a complete vertical circle?
Given
The length of the rod attaching the block is given as l.
Formula Used
Using the conservation of static and dynamic energy such as potential and kinetic energy, we have the conservation equation as
where
m is the mass of the object, v is the velocity, g is the acceleration due to gravity and h is the height at which the object is kept.
Explanation
Equating the conservation of energy, we get the minimum velocity of the block to complete a vertical circle, the length is double when forming circle
The minimum velocity of the block is 