A stick AB of mass M is tied at one end to a light string OA. A horizontal force `F = Mg` is applied at end B of the stick and its remains in equilibrium in position shown. Calculate angles `alpha` and `beta`.

A heavy particle of mass 1kg suspended from a massless string attached to a roof. A horizontal force F is applied to the particle such that in the equilibrium position the string makes and angle 30^(@) with the vertical. The magnitude of the force F equals .

Two bodies of masses 10 kg and 20 kg respectively kept on a smooth horizontal surface are tied to the ends of a light string A horizontal force F = 600 N is applied to (i) A and (ii) B aling the direction of string . What is the tension in the string in each case ?

The blocks are in equilibrium with a constant horizontal force 2mg acting on block B . The strings are light, find tensions in the strings and values of angles alpha and beta

A block A of mass m is attached at one end of a light spring and the other end of the spring is connected to another block B of mass 2m through a light string as shown in the figure. A is held and B is in static equilibrium. Now A is released. The acceleration of A just after that instant is a . In the next case, B is held and A is in static equilibrium. Now when B is released, its acceleration immediately after the releas is b . The value of a//b is (pulley, string and the spring are massless).

Two light vertical springs with equal natural length and spring constants k_(1) and k_(2) are separated by a distance l . Their upper end the ends A and B of a light horizontal rod AB . A vertical downwards force F is applied at point C on the rod. AB will remain horizontal in equilibrium if the distance AC is

A block of mass M is being pulled with the help of a string of mass m and length L. the horizontal force applied by the man on the string is F. Determine (a) Find the force exerted by the string on the block and acceleration of system. (b) Find the tension at the mid point of the string. (c ) Find the tension at a distance x from the end at which force is applied. Assume that the block is kept on a frictionless horizontal surface and the mass is uniformly distributed in the string.

Two block A and B of mass M & 3M are connected through a light string. One end of the string is connected to the blcok B and its other end is connected to a fixed point S as shown in fig. Now a force F is applied to block B. find the acceleration of block A & B.

A stick of mass m and length l is pivoted at one end and is displaced through an angle theta. The increase in potential energy is