A simple pendulum (bob of mass \(m\)) oscillates in a vertical plane. Let \(\theta\) be the angular displacement from the vertical. The tension in the string is equal to \(mg \mathrm{cos\theta}\) under which condition?
1. Always
2. never
3. At the extreme position
4. At the mean position

A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it:

1.  Increases

2.  decreases

3.  remains the same

4.  fluctuates erratically

A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is 

1. Rg

2. (Rg)²

3. R/g

4. $\sqrt{Rg}$