A bucket of water is swung in a vertical circle without spilling. What is the minimum speed the bucket must have at the top of the circle to prevent the water from falling out? (Let 'r' be the radius of the circle and 'g' be the acceleration due to gravity)

In a vertical circular motion of a mass attached to a string, where is the kinetic energy of the mass at its maximum?

A wheel rotates with a constant angular acceleration of $2\, rad/s^2$. If its initial angular velocity is $5\, rad/s$, what will its angular velocity be after $3\, seconds$?

A body of mass '$m$' is rotated in a vertical circle of radius '$R$' by means of light string. If the velocity of body is $\sqrt {gR}$ while it is crossing highest point of vertical circle then the tension in the string at that instant is

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

A mass $m$ is attached to a thin wire and whirled in a vertical circle. At what point in the circular path is the tension in the wire most likely to exceed the wire's breaking strength?

Two particles of masses $m$ and $5m$ move in concentric circles with radii $2r$ and $r$ respectively. If they experience the same centripetal force, what is the ratio of the speed of the lighter particle to the speed of the heavier particle?

A car traveling at a constant speed around a circular track maintains:

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 center) will be ( $T$ represents the tension in the string)

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 the lighter stone is $n$ times that of the heavier stone when they experience the same centripetal force. The value of $n$ is:

A small object of mass $m$ is attached to a string of length $l$ and whirled in a horizontal circle with a constant speed $v$. What is the net force acting on the object towards the center of the circle?