Circular Motion and Related Chapters - Past JEE Questions - TRUE or FALSE

State whether the following are True or False

1. A simple pendulum with a bob of mass m swings with an angular amplitude of 40°. When its angular displacement is 20°, the tension in the string is greater than mg cos 20°. (1984)

2. It is possible ot put an artificial statellite into an orbit in such a way that it will always remain directly over New Delhi. (1984)

3. Two identical trains are moving on rails along the equator on the earth in opposite directions with the same speed. They will exert the same pressure on the rails. (1985)

4. A triangular plate (ABC) of uniform thickness an density is made to rotate about an axis perpendicular to the plane of the paper and (a) passing through A and (b) passing through B, by the application of the same force, F at D(mid point of A). The angular acceleration in both the cases will be the same. (1985).

5. A thin uniform disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity ω. Another disc of the same dimension but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is 2ω/√(5). (1986)