Circular Motion (Related PYQs)

A car travels on a circular racetrack of radius 50 m, which is banked at an angle $\theta$. If the car travels at a speed $10\text{ ms}^{-1}$, then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be $10\text{ ms}^{-2}$, the value of $\theta$ is:

A particle moving with uniform speed in a circular path maintains:

A point mass '$m$' is moved in a vertical circle of radius '$r$' with the help of a string. The velocity of the mass is $\sqrt{7gr}$ at the lowest point. The tension in the string at the lowest point is

A mass m is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:

One end of string of length $l$ is connected to a particle of mass 'm' and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed '$v$', the net force on the particle (directed towards centre) will be (T represents the tension in the string)

A car is negotiating a curved road of radius R. The road is banked at an angle $\theta$. The coefficient of friction between the tyres of the car and the road is $\mu$s. The maximum safe velocity on this road is

Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius $\frac{r}{2}$ and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they exprience same centripetal forces. The value of n is

A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A bob is suspended from the roof of the car by a light wire of length 1.0 m. The angle made by the wire with the vertical is

A roller coaster is designed such that riders experience ''weightlessness'' as they go round the top of a hill whose radius of curvature is 20 m. The speed of the car at the top of the hill is between

A $500\text{ kg}$ car takes a round turn of radius $50\text{ m}$ with a velocity of $36\text{ km/h}$. The centripetal force is

A ball of mass $0.25\text{ kg}$ attached to the end of a string of length $1.96\text{ m}$ is moving in a horizontal circle. The string will break if the tension is more than $25\text{ N}$. What is the maximum speed with which the ball can be moved?

When milk is churned, cream gets separated due to