A uniform horizontal beam of length `L` and mass `M` is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle `theta` with the horizontal . If a man of mass `'m'` stands at a distance `l` from the wall , find the tension in the cable in equilibrium.

In figure a thin horizontal bar AB of negligible weight and length L is pinned to a vertical wall at A and supported at B by a thin wire BC that makes an angle theta with the horizontal. A weight W can be moved anywhere along the bar; its position is defined by the distance x from the wall of its centre of mass. As a function of x, the horizontal component of the reaction at the hinge A is?

If a simple pendulum of mass m is released from a horizontal position, find the tension in the string as a function of the angle theta with the horizontal.

A uniform rod is rested on a wall and its lower end is tied wall with the help of a horizontal string of negligble mass as shown. Length of rod is L and height of the wall is h . What will be tension in the string ?

A chain of length 'L' and mass 'M' is hanging by fixing its upper end to a rigid support. The tension in the chain at a distance 'x' from the rigid support is

A chain of length 'L' and mass 'M' is hanging by fixing its upper end to a rigid support. The tension in the chain at a distance 'x' from the rigid support is

A uniform rod of length 3L and mass m is suspended from a horizontal roof by two strings of length L and 2L as shown. Then the tension in the left string of length L is :

A scaffold of mass 65 kg and length 5.2 m is supported in a horizontal position by a vertical cable at each end. A window washer of mass 80 kg stands at a point 1.5 m from one end. What is the tension in (a) the nearer cable and (b) the farther cable?

A uniform rope of mass m and length L is pulled by applying force at one of the ends. Along a frictionless inclined plane of inclination theta with horizontal such that it moves with acceleration a. the tension in the rope at a distance x from the free end is