A uniform rod of mass m is kept in equilibrium making angle 30° with horizontal as shown, with a thread. The tension in the thread is?

A uniform cylinder of mass m rests on two rough horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F

A rod mass (M) hinged at (O) is kept in equilibrium with a spring of stiffness (k) as shown in figure. The potential energy stored in the spring is .

A particle of mass m and charge q is suspended from a point A with a silk thread of length l. Another particle of charge -q is fixes at a distance I from the point A such that point A and the charge -q lie in same horizontal plane. If at equilibrium , the thread makes angle 30^(@) with vertical, find the mass m and tension in the thread . ( Take acceleration due to gravity as g).

A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of 30^(@) with the vertical when a horizontal force F is applied as shown in figure, then the value of F is:

A rod of mass m is released on smooth horizontal surface making angle theta with horizontal. Then which of the following statement is correct ?

A chain of mass per unit length lambda and length 1.5 m rests on a fixed smooth sphere of radius R = (2)/(pi) m such that A end of chain is at the top of sphere while the other end is hanging freely. Chain is held stationary by a horizontal thread PA. The tension in the thread is:

A cylinder of mass 0.6kg and radius R is falling under gravity without slipping as the thread is unfolding.Find the tension in the thread (in newton).

A bar of mass m is pulled by means of a thread up an inclined plane forming an angle theta with the horizontal as shown in figure-2.211. The coefficient of friction is mu . Prove that (a) alpha=tan^(-1)mu , where alpha is the angle which the thread must from with the inclined plane for the tension of the thread to be minimum.