H C Verma Solutions for Chapter: Rotational Mechanics, Exercise 1: QUESTIONS FOR SHORT ANSWER

When a fat person tries to touch his toes, keeping the legs straight, he generally falls. Explain with reference to the figure. 

A ladder is resting with one end on a vertical wall and the other end on a horizontal floor. Is it more likely to slip when a man stands near the bottom or near the top?

When a body is weighed on an ordinary balance, we demand that the arm should be horizontal, if the weights on the two pans are equal. Suppose equal weights are put on the two pans, the arm is kept at an angle with the horizontal and released. Is the torque of the two weights about the middle point (point of support) zero? Is the total torque zero? If so, why does the arm rotate and finally become horizontal?

The density of a rod $AB$ continuously increases from $A$ to $B$. Is it easier to set it in rotation by clamping it at $A$ and applying a perpendicular force at $B$ or by clamping it at $B$ and applying the force at $A$?

When tall buildings are constructed on the earth, the duration of day-night slightly increases. Is it true?

If the ice at the poles melts and flows towards the equator, how will it affect the duration of day-night?

A hollow sphere, a solid sphere, a disc and a ring all having same mass and radius are rolled down on an inclined plane. If no slipping takes place, which one will take the smallest time to cover a given length?

A sphere rolls on a horizontal surface. Is there any point of the sphere which has a vertical velocity?