What is the condition for an object to remain in circular motion?

An object will remain in circular motion if there is a centripetal force acting on it.

Circular motion is the motion of an object along a circular path. The direction of the velocity of the object is constantly changing, but the magnitude of the velocity remains constant. This means that there must be a force acting on the object to constantly change its direction of motion. This force is called the centripetal force.

The centripetal force is always directed towards the centre of the circular path. It is given by the equation F = mv²/r, where F is the centripetal force, m is the mass of the object, v is the velocity of the object and r is the radius of the circular path.

For an object to remain in circular motion, the centripetal force must be provided by a force acting on the object. This force can be provided by a number of different sources, such as tension in a string, gravitational attraction, or friction.

If the centripetal force is not provided, the object will no longer move in a circular path and will instead move in a straight line tangent to the circular path at the point where it was last moving. This is known as tangential motion.

In summary, an object will remain in circular motion if there is a centripetal force acting on it, which is always directed towards the centre of the circular path.