H C Verma Solutions for Chapter: Circular Motion, Exercise 3: OBJECTIVE II

An object follows a curved path. The following quantities may remain constant during the motion. 

Assume that the Earth goes around the Sun in a circular orbit with a constant speed of $30 \mathrm{km} {\mathrm{s}}^{-1}$.

The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time. Its

A particle is going in a spiral path, as shown in figure with constant speed.

A car of mass $M$ is moving on a horizontal circular path of the radius $r$. At an instant, its speed is $v$ and is increasing at a rate $a$. Then

A circular road of radius $r$ is banked for a speed $v=40 \mathrm{km} {\mathrm{hr}}^{-1}.$ A car of mass $m$ attempts to go on the circular road. The friction coefficient between the tyre and the road is negligible.

A person applies a constant force $\overrightarrow{F}$on a particle of mass $m$ and finds that the particle moves in a circle of a radius $r$ with a uniform speed $v$, as seen from an inertial frame of reference.