Problem 1: A string 1 m long is used to whirl a 100 grams stone in a horizontal circle at a speed of 2 m/s. Find the tension in the string.
Problem 2: The moon revolves around the earth in almost a circle of radius 382400 Km in 27.3 days. What is the centripetal acceleration?
Problem 3: A ball of mass ‘m’ tied to one end of a string and is whirled from the other end in a vertical circle of radius ‘r’ with constant speed. Find out the tension in the string when the ball is at
(a) the highest point (b) the lowest point
Problem 4: A motor car is traveling at a speed of 30 ms-1. If the wheel has a diameter of 1.5 m, find its angular speed in rad/s and rev/ s.
Problem 5: An electric motor is running at 1800 rev/min. It comes to rest in 20 s. If the angular acceleration is uniform find the number of revolution made before stopping.
Problem 6: What is the moment of inertia of a 100 kg sphere whose radius is 50 cm.
Problem 7: What is the K.E of a 5 kg solid ball whose diameter is 15 cm if it rolls across a level surface with a speed of 2 m/s?
Problem 8: A cylinder of 50 cm diameter at the top of an incline 29.4 cm high and 10 m long is released and rolls down the incline. Find the linear and angular speed at the bottom. Neglect friction.
Problem 9: Show that when a hoop rolls down on an inclined plane, half of K.E is rotational and the other half is translational.
Problem 10: A disc without slipping rolls down a hill of vertical height 1000 cm. If the disc starts from rest at the top of the hill, what is its magnitude of velocity at the bottom?