A particle is moving in a circular path of radius $r$ under the action of a force $F$. If at an instant velocity of particle is $v$, and speed of particle is increasing, then
$\vec{F} \cdot \vec{v} > 0$
$\vec{F} \cdot \vec{v}=0$
$\vec{F} \cdot \vec{v} < 0$
$\vec{F} \cdot \vec{v} \geq 0$
A particle starting from rest, moves in a circle of radius $r$. It attains a velocity of $\mathrm{V}_{0} \;\mathrm{m} / \mathrm{s}$ in the $\mathrm{n}^{\text {th }}$ round. Its angular acceleration will be
If the string of a conical pendulum makes an angle $\theta$ with horizontal, then square of its time period is proportional to
A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first $2$ sec, it rotates through an angle ${\theta _1}$. In the next $2$ sec, it rotates through an additional angle ${\theta _2}$. The ratio of ${\theta _2}\over{\theta _1}$ is
A motor cyclist going round in a circular track at constant speed has
If a cycle wheel of radius $4 \,m$ completes one revolution in two seconds. Then acceleration of a point on the cycle wheel will be