Two uniform rods of equal length but different masses are rigidly joined to form an $L-$ shaped body, which is then pivoted as shown in figure. If in equilibrium the body is in the shown configuration, ratio $M/m$ will be
$2$
$3$
$\sqrt 2$
$\sqrt 3$
Write the condition for rotational equilibrium and translational equilibrium.
$A$ body is in equilibrium under the influence of a number of forces. Each force has a different line of action. The minimum number of forces required is
A solid cylinder of mass $m$ is wrapped with an inextensible light string and, is placed on a rough inclined plane as shown in the figure. The frictional force acting between the cylinder and the inclined plane is:
[The coefficient of static friction, $\mu_{ s },$ is $\left.0.4\right]$
Two uniform rods of equal length but different masses are rigidly joined to form an $L$ -shaped body, which is then pivoted as shown. If in equilibrium the body is in the shown configuration, ratio $M/m$ will be:
A small $100$ $g$ sleeve $B$ can slide on a smooth, circular and rigid wire frame $A$ of radius $5$ $m$ placed in vertical place. The wire frame is rotating about its vertical diameter at $2$ $rad/s$. When the sleeve is brought at a particular angular position other than the bottom and the top of the ring, the sleeve will not slide on the wire frame. ......... $N$ is force of interaction between the sleeve and the wire frame at this position.