A cyclist is riding with a speed of `27 km h^(-1)`. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate `0.5 ms^(-2)`. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn ?

A cyclist tilts to make an angle theta with level ground as he takes a circular turn of radius r. If the speed of the cycle is v, show that tan theta = rg/ v^(2)

A car of mass 1500 kg is moving with a speed of 12.5 m cdot s^(-1) on a circular path of radius 20 m on a level road. What should be the frictional force between the car and the road so that the car does not slip? What should be the value of the coefficient of friction this force?

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?