H C Verma Solutions for Chapter: Circular Motion, Exercise 2: OBJECTIVE I

A coin placed on a rotating turntable just slips if it is placed at a distance of $4 \mathrm{cm}$ from the center. If the angular velocity of the turntable is doubled, it will just slip at a distance of 

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

Three identical cars $A, B$ and $C$ are moving at the same speed on three bridges. The car $A$ goes on a plane bridge, $B$ on a bridge convex upward and $C$ goes on a bridge concave upward. Let $F_{\mathrm{A}}, F_{\mathrm{B}}$ and $F_{\mathrm{C}}$ be the normal forces exerted by the cars on the bridges when they are at the middle of bridges.

A train $A$ runs from east to west and another train $B$ of the same mass runs from west to east at the same speed along the equator. $A$ presses the track with a force $F_1$ and $B$ presses the track with a force $F_2$ . Thus

If the earth stops rotating, the apparent value of $g$ on its surface will 

A rod of length $L$ is pivoted at one end and is rotated with a uniform angular velocity, in a horizontal plane. Let $T_1$ and $T_2$ be the tensions at points $\frac{L}{4}$ and $\frac{3L}{4}$, away from the pivoted ends.

A simple pendulum having a bob of mass $m$ is suspended from the ceiling of a car used in a stunt film shooting. The car moves up along an inclined cliff at a speed $v$ and makes a jump to leave the cliff and lands at some distance. Let $R$ be the maximum height of the car from the top of the cliff. The tension in the string when the car is in air is

Let $\text{θ}$ denote the angular displacement of a simple pendulum oscillating in a vertical plane. If the mass of the bob is $m$, then the tension in the string is $mg\cos \text{θ}$