The centre of mass of a body is the point on the body where the application of a force brings about ……………………… on the body

The centre of mass of a body is the point on the body where the application of a force brings about pure translational motion on the body.

Here's the step by step explanation:

1. The center of mass is a position defined relative to an object or system of objects.
2. It is the average position of all the parts of the system, weighted according to their masses.
3. If a force is applied at the center of mass, it causes the object to move in direction of the force without any rotation. This is called translational motion.
4. Translational motion means movement that changes the position of the object as a whole, without any rotation, or more technically, without any change in orientation.
5. Therefore, the center of mass is the point where a force can be applied to move the object without causing it to rotate.