A cyclist is travelling with velocity $v$ on a curved road of radius $R$. The angle $\theta$ through which the cyclist leans inwards is given by
$\tan \theta = \frac{{Rg}}{{{v^2}}}$
$\tan \theta = {v^2}Rg$
$\tan \theta = \frac{{{v^2}g}}{R}$
$\tan \theta = \frac{{{v^2}}}{{Rg}}$
The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius $R$ and coefficient of static friction $\mu $, is
A car when passes through a convex bridge exerts a force on it which is equal to
A cyclist goes round a circular path of circumference $34.3\, m$ in $\sqrt {22} $ sec. the angle made by him, with the vertical, will be ....... $^o$
A ball is released from rest from point $P$ of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point $Q$ is $A$ while angular position of point $Q$ is $\alpha$ with respect to point $P$. Which of the following graphs represent the correct relation between $A$ and $\alpha$ when ball goes from $Q$ to $R$ ?
How centripetal force is provided during motion on level circular path ?