A bob is attached to a string as shown in the figure below. At the lowest point, it is given a horizontal velocity $u$. The bob rotates complete circle in vertical plane. For different values of $u$, it can have different total acceleration at different points. For each of the points marked in column I, match the possible direction(s) of the total acceleration given by statements $\left(\mathrm{i}\right)$, $\left(\mathrm{ii}\right), \left(\mathrm{iii}\right), \left(\mathrm{iv}\right),$ and $\left(\mathrm{v}\right)$.

Column I		Column II
	(i)
	(ii)
	(iii)
	(iv)
	(v)

Match the situation of the particle with the statement given in Column II.
 

 

 A particle $P$ of mass $m$ is attached to a vertical axis by two strings $AP$ and $BP$ of length $l$ each. The separation $AB=l$. $P$ rotates around the axis with an angular velocity $\omega$. The tensions in the two strings are $T_1$ and $T_2$. Choose the correct option(s).

On a train moving along east with a constant speed $v$, a boy revolves a bob with string of length $l$ on smooth surface of train, with equal constant speed $v$ relative to train. Mark the correct option(s).

Consider the figure shown below. A block $B$ is kept on a rotating rough table over which a man stands. Another man $A$ stands on the ground. Choose the correct option(s).

One end of a light inextensible string of length $l$ is attached to a particle of mass $m$ resting on a smooth horizontal table. The string passes through a smooth hole in the table and its other end is attached to a small particle of same mass. The system is set in rotation as shown in figure with constant angular speed. Choose the correct option(s).

A bob of mass $m$ hangs by a light inextensible string which is connected with a rigid support after passing over a smooth pulley $P$. If the bob is released from an angular position $\mathrm{\theta }=30°$, then