Question

what is the difference between circular and rotatory motion

Answer 1

Circular motion concerns a point or a mass point. It is a type of curvilinear motion.

Rotatory motion concerns a solid i.e. a collection of points.

In a rotatory motion about a fixed axis, all points have a circular motion at the same angular velocity. Trajectories are circles.

In an instant rotatory motion, the axis of rotation changes with time and the trajectories of different point are not necessarily circular. The simplest example is a wheel rolling on the ground: at every instant the motion is a rotation about the contact point of the wheel with the ground, but the centre of the wheel has a linear motion.