Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium?

a rigid object in uniform rotation about a fixed axis does not satisfy both the condition of equilibrium.

First condition of equilibrium is that net force on the body should be zero.

or F net = 0

A body under uniform rotation is experiencing a centripetal force all the time so F net ≠ 0

So first condition of equilibrium is not satisfied.

Second condition is that, net torque acting on the body must be zero.

In case of a rigid object in uniform rotation, centripetal force is applied towards the centre ie towards the line joining the body under rotation with the axis.

F is along r

torque = r x F

= r F sinθ

θ = 0 degree

torque = 0

Hence 2nd condition is fulfilled.