Figure below shows a small mass connected to a string, which is attached to a vertical post. If the ball is released, when the string is horizontal as shown below. The magnitude of the total acceleration (including radial and tangential) of the mass as a function of the angle $\theta$ is

A body of mass $1\,kg$ is rotating in a vertical circle of radius $1\,m$. What will be the difference in its kinetic energy at the top and bottom of the circle : ………… $\mathrm{J}$ $(g = 10\,m/s^2)$

A sphere is suspended by a thread of length $l$. What minimum horizontal velocity has to be imparted the ball for it to reach the height of the suspension

A stone tied to a string of length $L$ is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed $u$. The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

A bob of mass $10$ $M$ is suspended through an inextensible string of length $l$. When the bob is at rest at the equilibrium position, two particles of mass $m$ each moving with velocity $u$ making an angle $60^o $ with the string strike and get simultaneously attached to the bob. What is the value of impulsive tension $(l)$ in the string during the impact ?