Test: Circular Motion - JEE MCQ

Max tension =  Max. Centripetal force

160= mv^2 / r  => v^2  =  160 *10 / 5   =>  V= 17.88.

We know that centripetal force is required for an object to travel in an circular motion thus the acceleration of the object in circular motion will be (mv²/r) / m

It is advised to drive along the slippery road slowly, because friction is reduced and if the driver is driving at a larger speed there is a risk of skidding.

Centripetal always act towards centre.as centrifugal act away from centre.

Railway tracks are banked at curves to help the train negotiate the curve safely. The banking of the tracks ensures that the necessary centripetal force is provided by the horizontal component of the normal reaction force from the track. This reduces the reliance on friction between the train wheels and the track, allowing trains to travel safely around curves at higher speeds.

Centrifugal force, a fictitious force, peculiar to a particle moving on a circular path, that has the same magnitude and dimensions as the force that keeps the particle on its circular path (the centripetal force) but points in the opposite direction.

The shape of earth is geoid due to which radius of earth is 14km shorter at equator than on poles. And as centripetal force, f = mv² /r
We get f is maximum at the equator.

When the car moves in a curvature of radius R, the force acting towards the centre of curvature must be equal to mv²/R 
where m is mass of the car, v is the speed of car
But when we draw the free body diagram of the car the only force towards the centre of curvature is the friction force which is f = μmg
Hence by comparing we get v = √μgR
Substituting values gives, v= 20ms^-1

A banked turn (or banking turn) is a turn or change of direction in which the vehicle banks or inclines, usually towards the inside of the turn. The bank angle is the angle at which the vehicle is inclined about its longitudinal axis with respect to the horizontal.

It is because at every point of circle an object has two acceleration (Tangential & Angular acceleration).At every point a body experience a tangential force which is perpendicular to the radius of the circle, when the string breaks the centripetal force disappear ( the radially inward force which holds a body in a circular motion) Hence the only Tangential force act on the body & it goes in that way.