A rope of mass m is hung from a ceiling. The centre point is pulled down with a vertical force F. The tangent to the rope at its ends makes an angle `alpha` with horizontal ceiling. The two tangents at the lower point make an angle of `theta` with each other. Find `theta` .

One end of a rope is fastened to the ceiling of a room and the other is pulled by a force 2F. What is the tension in the rope at the lower end ?

A mass 'M' is suspended by a rope from a rigid support. It is pulled horizontally with a force F. If the rope makes an angle ' theta ' with vertical in equilibrium, then the tention in the string is

A mass 'M' is suspended by a rope from a rigid support. It is pulled horizontally with a force F. If the rope makes an angle ' theta ' with vertical in equilibrium, then the tention in the string is

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What angle will the rod make with the vertical

A rope of mass 0.2 kg is connected at the same height of two opposite walls. It is allowed to hang under its own weight. At the contact point between the rope and the wall, the rope makes an angle theta=30%^(@) with respect to horizontal. The tension in the rope at its midpoint between the walls is