A body suspended on a spring balance in a ship weighs $W$, when ship is at rest. When the ship begins to move along the equator from west to east with the velocity $v$, the scale reading is approximately equal to ($\omega$ is angular velocity of earth)

Point $A$ and Point $B$ are moving in $2$ circular orbits with angular velocity $2\omega$ and $\omega$ respectively. Their positions are as shown at $t=0$. Find the time when they will meet for first time.

A particle of mass $m_1$ moves in a circular path of radius $R$ on a rotating table. A string connecting the particles $m_1$ and $m_2$ passes over a smooth hole made on the table as shown in figure. If mass $m_1$ does not slide relative to the rotating table, mark the correct option(s) as applicable.

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

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