Question

Dynamics of circular motion, A particle is moving in a circle:
A. The resultant force on the particular must be towards the centre.
B. The cross product of the tangential acceleration and the angular velocity will be zero.
C. The direction of the angular acceleration and the angular velocity must be the same.
D. The resultant force may be towards the centre.

Answer 1

Hint: Circular motion is both uniform as well as non-uniform. It would be uniform circular motion if another tangential acceleration component becomes null, but if the tangential acceleration component remains present, this will be non-uniform circular motion.

Complete step by step answer:
The net acceleration of a particle is the product of radial acceleration through tangential acceleration in the event of non-uniform circular motion.

Now, assume you seem to be in an inertial reference frame, and in circular motion, you are watching a particle. As per the law of motion, the net force mostly on a particle needs to be non-zero, because the particle does have acceleration. Let's examine the example of circular motion in uniform. The particle's speed is steady.

This force is centre-directed and is thus referred to as the centripetal force. In order to hold the object in constant circular motion, such centripetal force is necessary. This is only the name given to this form of force, and stress, friction, etc. will produce this centripetal force.

So, the correct answer is “Option A”.

Note:
A centripetal force is indeed a net force that operates in a circular direction on an object to prevent it going.The centripetal force, a force which points toward the centre of a circle, is always constant throughout this motion. At the bottom of the disc, gravity refers to the stress in the opposite direction.And in an inertial framework, a centripetal force is calculated.