A body rotates uniformly about a fixed vertical axis in an inertial frame. The resultant force acting on a particle of the body not situated on the axis is

Step-by-step solution

Let the fixed vertical axis of rotation be the z-axis. The angular velocity of the body is = k . Since the body rotates uniformly, the angular acceleration = 0 . The position vector of a particle not on the axis can be written as r = x i + y j + z k . The acceleration of the particle is given by the centripetal acceleration, as the tangential acceleration is zero: a = ( r ) a = k ( k (x i + y j + z k )) = k ( x j - y i ) = - ^2 x i - ^2 y j a = - ^2 (x i + y j ) According to Newton's second law, the resultant force