A metre stick is held vertically with one end on the floor and is then allowed to fall. If the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of

a) |
b) |
c) |
d) |

A metre stick is held vertically with one end on the floor and is then allowed to fall. If the end touching the floor is not allowed to slip, the other end will hit the ground with a velocity of

a) |
b) |
c) |
d) |

1 Answer

127 votes

**(b)**

In this process potential energy of the metre stick will be converted into rotational kinetic energy

P.E. of meter stick

Because its centre of gravity lies at the middle point of the rod

Rotational kinetic energy

M.I. of metre stick about point

Angular speed of the rod while striking the ground

Velocity of end of metre stick while striking the ground

By the law of conservation of energy,

By solving we get,

127 votes

127