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.

See Solution

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?

See Solution

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

See Solution

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.

See Solution

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.

See Solution

Problem 6: What is the moment of inertia of a 100 kg sphere whose radius is 50 cm.

See Solution

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?

See Solution

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.

See Solution

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.

See Solution

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?

See Solution