Test: Friction (June 6) - JEE MCQ

A cyclist bends while taking turn to

A stone of mass m tied to the end of a string revolves in a vertical circle of radius R. The net forces at the lowest and highest points of the circle directed vertically downwards are
T₁ and v₁ denotes the tension and speed at the lowest point. T₂ and v₂ denotes corresponding values at the highest point.

A stone of mass 5 kg is tied to a string of length 10 m is whirled round in a horizontal circle. Wha is the maximum speed with which the stone can be whirled around if the string can witbstand  a maximum tension of 200 N.

The coefficient of frictionbetween the tyres and the road is 0.1. The maximum speed with which a cyclist can take a  circular turn of radius 3m without skidding it.(Take g =  m s^-2)

In the question number 8, the maximum permissible speed to avoid slipping is

A particle is moving on a circular path of 10 m radius. At any instant of time, its speed is 5 m s^-1 and the speed is increasing at a rate of 2 m s^-1. The magnitude of net acceleration at this instant is 

The mass of a bicycle rider along with the bicycle is 100 kg. He wants to cross over a circular turn of radius 100 m with a speed o f 10 m s^-1. If the coefficient of friction between the tyres and the road is 0.6, the frictional force required by the rider to cross the turn, is