6.1 Circular Motion

A 0.05 kg ball is attached to an inextensible string and whirled overhead such that it rotates in a horizontal circle.

What is the centripetal force on the ball if the string is 0.1 m long and the ball has a time period of  s?

A horizontal disc rotates uniformly at a constant angular velocity about a central axis normal to the plane of the disc.

Point X is on a distance 3L from the centre of the disc. Point Y is a distance L from the centre of the disc. Point Y has a linear speed v and a centripetal acceleration a.

What is the linear speed and centripetal acceleration of point X?

A girl of mass 50 kg is standing on a roundabout 100 cm from the centre. The force of friction on the girl is 600 N. What is the time period if the roundabout is rotating uniformly?

A spinning top makes twenty revolutions in five minutes in a clockwise direction.

What is the angular velocity of the spinning top?

A body moves in a circle with increasing angular velocity. At times t, the angles θ swept out by the body added cumulatively from the same reference point and its angular velocities ω are as follows:

The angular acceleration of the body:

A hammer thrower rotates a ball on a string in a circular path gradually increasing its angular velocity with each rotation. 

When the hammer releases the ball, the subsequent path taken by the ball is

An object at the end of a steel rod rotates in a vertical circle at a constant angular velocity. Which of the following statements correctly describes the tension in the rod?

For a particle moving in a circle with uniform speed, which of the following statements is incorrect?

A satellite X of mass orbits the Earth with a period T and radius r and linear speed v. What will be the orbital period of satellite Y with mass m occupying an orbit with radius  and speed 2v as X?