Three identical rigid circular cylinder `A` `B` and `C` are arrenged on smooth inclined surfaces as shown in figure. The laest value of theta that prevent the arrangement from collapes is.

A bead of mass m is released from height h on smooth thread as shown in figure.The minimum value of h such that bead completes the circular arc is

Three weights are hanging over a smooth fixed pulley as shown in the figure. What is the tension in the string connecting weights B and C ?

Three weights are hanging over a smooth fixed pulley as shown in the figure. What is the tension in the string connecting weights B and C ?

Three identical resistances A , B and C are connected as shown in the given figure. The heat produced will be maximum

Three identical cubes each of mass m are place on a smooth horizontal surface.A constant force F is applied on A as shown in the figure.The force on B applied by C is

A small mass 'm' is sliding down on a smooth curved incline form a height 'h' and finally moves through a horizontal smooth surface. A light spring of force constant K is fixed with a vertical rigid stand on the horizontal surface, as shown in the figure. Find the value for the maximum compression in the spring if mass 'm' is released from rest from height 'h' and hits the spring in the horizontal surface. .

Three identical smooth cylinders, each of mass m and radius r are resting in equilibrium within a fixed smooth cylinder of radius R (only a part of this cylinder has been shown in the fig). Find the largest value of R in terms of r for the small cylinders to remain in equilibrium.

A small particle starts moving from point P along the smooth inclined surface of circular cross section seen in figure (R=5m)