A body rotates nonuniformly about a fixed vertical axis within an inertial frame. The resultant force acting on a particle of the body that is not located 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 and its angular acceleration is = k , where 0 since the rotation is non-uniform. Let the position vector of a particle of mass m be r = r e _r + z k , where r > 0 because the particle is not located on the axis. The acceleration of the particle has two components: Centripetal acceleration: a _c = - ^2 r e _r Tangential acceleration: a _t = r e _ The resultant force acting on the particle is given by Newton's second law: F