Two objects $A$ and $B$ each of mass $m$ are connected by a light inextensible string. They are restricted to move on a frictionless ring of radius $R$ in a vertical plane (as shown in fig). The objects are released from rest at the position shown. Then, the tension in the cord just after release is
Zero
$mg$
$\sqrt 2\,mg$
$mg/ \sqrt 2$
Two masses of $10 \,kg$ and $20 \,kg$ respectivety are connected by a massless spring as shown in fig. A force of $200 \,N$ acts on the $20 \,kg$ mass At the instant shown the $10 \,kg$ mass has acceleration $12 \,m / s ^2$ towards right. The acceleration of $20 \,kg$ mass at this instant is ........ $m / s ^2$
Two masses $M$ and $m$ are connected by a weightless string. They are pulled by a force $F$ on a frictionless horizontal surface., the acceleration of mass $m$ is
A $1 \mathrm{~kg}$ mass is suspended from the ceiling by a rope of length $4 \mathrm{~m}$. A horizontal force ' $F$ ' is applied at the mid point of the rope so that the rope makes an angle of $45^{\circ}$ with respect to the vertical axis as shown in figure. The magnitude of $F$ is:
Resultant of action and reaction is zero. (True or False)
Ten one-rupee coins are put on top of each other on a table. Each coin has a mass $m$ Give the magnitude and direction of
$(a)$ the force on the $7^{\text {th }}$ coin (counted from the bottom) due to all the coins on its top.
$(b)$ the force on the $7^{\text {th }}$ coin by the elghth coin,
$(c)$ the reaction of the $6^{\text {th }}$ coin on the $7^{\text {th }}$ coin.