can an object be in pure translation as well as in pure rotation?

Angular momentum of a rigid body in pure translation | Pure rotation | Rotation plus translation

A rigid body not fixed in some way can have either pure translation or a combination of translation and rotation. In rotation about a fixed axis, every particle of the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.

Rigid Body|Types Of Motion Of Rigid Body|Pure Translational Motion|Pure Rotational Motion|Moment Of Inertia|Moment Of Inertia Of Single Particle|Moment Of Inertia Of System Of Particles

Assertion: A ball is released on a rough ground in the condition shown in figure. it will start pure rolling after some time towards left side. Reason: Friction will convert the pure rotational motion of the ball into pure rolling

The axis of rotation of a purely rotating body

Combined Translational and Rotational||Rolling

At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed

At any instant, a rolling body may be considered to be in pure rotation about an axis through the point of contact. This axis is translating forward with speed