A stone of mass $1 \,kg$ is tied with a string and it is whirled in a vertical circle of radius $1 \,m$. If tension at the highest point is $14 \,N$, then velocity at lowest point will be ………… $m / s$

$A$ small cube with mass $M$ starts at rest at point $1$ at a height $4R$, where $R$ is the radius of the circular part of the track. The cube slides down the frictionless track and around the loop. The force that the track exerts on the cube at point $2$ is nearly ……… times the cube's weight $mg$.

A mass is performing vertical circular motion (see figure). If The average velocity of the particle is increased, then at which point the string will break

A stone of mass $m$, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is

A stone of mass $1\, kg$ tied to a light inextensible string of length $L = \frac{{10}}{3}m$ is whirling in a circular path of radius $L$ in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is $4$ and if $g$ is taken to be $10m/{\sec ^2}$, the speed of the stone at the highest point of the circle is ……. $m/\sec$