One end of a uniform rod of mas m and length l is clamped. The rod lies on a smooth horizontal surface and rotates on it about the clamped end at a unifrom angular velocity `omega`. Theforce exerted by the clamp on the rod has a horizontal component

Options

A. `m omega^(2) L`
B. zero
C. `m g`
D. `(m omega^(2) L)/(2)`

Explanation

`dF=dm omega^(2)x`
`F=(m)/(L)omega^(2)int_(0)^(L)x dx`
`=(1)/(2)momega^(2)L`