Chittaranjan Dasgupta and Asok Kumar Das Solutions for Chapter: Dynamics of Uniform Circular Motion, Exercise 1: EXERCISE

When a particle moves in a circular path with uniform speed, does its acceleration remain unaltered?

A coin is put on a gramophone disc. The disc starts rotating but before the final speed is reached, the coin flies off. Why?

A particle of mass $\mathrm{m}$ is moving along the circumference of a circle of diameter $10 \mathrm{cm}$ with uniform speed of $20 \mathrm{cm}/\mathrm{s}$. What is its centripetal acceleration ?

A wheel is rotating about an axis through its centre perpendicular to the plane of the wheel. Consider a point on the rim.When the wheel rotates with constant angular velocity, does the point have a radial acceleration or a tangential acceleration ? When the wheel rotates with constant angular acceleration, does the point have radial acceleration or a tangential acceleration? Do the magnitudes of these accelerations change ?

To maintain a body in uniform circular motion, a force directed towards the centre is to be always applied on the body. Explain. What is that force called?

When a heavy piece of metal is tied at the end of a string and revolved with a large enough speed, the string snaps. Why does it happen so?

Name the force which provides the centripetal force in the following cases :

An earth's satellite is kept moving in its orbit.

Name the force which provides the centripetal force in the following cases :

Railways tracks are banked on curves.