Derive an expression for the maximum speed acquired by vehicle on banked circular track of radius r with coefficient of friction `mu` between the wheels and road.

What should be the maximum speed of a motor car of mass 2000 kg when it takes a circular turn of redius 100 m on a plane road? Coefficient of friction between the tyre and the road = 0.25 . Given, g = 10 m cdot s^(-2) .

The maximum speed that can be attained by a car, without skidding, on a horizontal circular road of radius R and coefficient of kinetic friction mu is

The maximum speed that can be attained by a car, without skidding, on a horizontal circular road of radius R and coefficient of kinetic friction mu is

A motorcycle rider, in the 'death-well' show in a circus, is revolving along a circular path of radius r on the wall of the well. If the coefficient of friction between the wall and the tyres of the motorcycle is mu , then what minimum velocity should be maintained by the rider?

A cyclist speeding at 18 km/h on a level rod takes a sharp circular turn of radius 3 m without reducing the speed and without spending towards the centre of the circular path. The coefficient of static friction between the tyres and the road is 0.1. Will the cyclist slip while taking the turn?

Derive an expression for the centripetal acceleration of a body moving with uniform speed v along a circular path of radius r .