Objects $A$ and $B$ each of mass $m$ are connected by light inextensible cord. They are constrained to move on a frictionless ring in a vertical plane as shown in figure. The objects are released from rest at the positions shown. The tension in the cord just after release will be
$\frac{ mg }{\sqrt{2}}$
$mg \sqrt{2}$
$\frac{ mg }{2}$
$\frac{ mg }{4}$
The maximum acceleration of $5\,kg$ block $.............\,m/s^{2}$
A mass $M$ is suspended by a rope from a rigid support at $A$ as shown in figure. Another rope is tied at the end $B$, and it is pulled horizontally with a force $.......$ with the vertical in equilibrium, then the tension in the string $AB$ is :
For the equilibrium of a body on an inclined plane of inclination $45^{\circ}$. The coefficient of static friction will be
A block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m$. If a force $P$ is applied at the free end of the rope, the force exerted by the rope on the block is-