Two masses $m$ and $M$ are attached to the strings as shown in the figure. If the system is in equilibrium, then
$\cot \theta=1+\frac{2 m}{M}$
$\tan \theta=1+\frac{2 M}{m}$
$\tan \theta=1+\frac{2 m}{M}$
$\cot \theta=1+\frac{2 M }{ m }$
Adjoining figure shows a force of $40\, N$ acting at $30^o$ to the horizontal on a body of mass $5 \,kg$ resting on a smooth horizontal surface. Assuming that the acceleration of free-fall is $10\, ms^{-2}$, which of the following statements is (are) correct?
$[1]$ The horizontal force acting on the body is $20\, N$
$[2]$ The weight of the $5\, kg$ mass acts vertically downwards
$[3]$ The net vertical force acting on the body is $30\, N$
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
Find wrong statement