Find the maximum velocity for skidding for a car moved on a circular track of radius $100\, m$. The coefficient of friction between the road and tyre is $0.2$ ....... $m/s$

In a conical pendulum, the bob is rotated with different angular velocities and tension in the string is calculated for different values of $\omega$ . Which of them is correct graph between $T$ & $\omega .$

A modern grand-prix racing car of mass $m$ is travelling on a flat track in a circular arc of radius $R$ with a speed $v$. If the coefficient of static friction between the tyres and the track is $\mu_{s},$ then the magnitude of negative lift $F_{L}$ acting downwards on the car is

(Assume forces on the four tyres are identical and $g =$ acceleration due to gravity)

Write the formula for the maximum permissible speed of a vehicle moving on smooth circular balanced tracks.

A cyclist riding the bicycle at a speed of $14\sqrt 3  ms^{-1}$takes a turn around a circular road of radius  $20\sqrt 3 $ m without skidding. Given $g = 9.8 ms^{-2},$ what is his inclination to the vertical ....... $^o$

A stone of mass of $16\, kg$ is attached to a string $144 \,m$ long and is whirled in a horizontal circle. The maximum tension the string can withstand is $16$ Newton. The maximum velocity of revolution that can be given to the stone without breaking it, will be ....... $ms^{-1}$