Three weightless rods of length 1 each are hinged at points A and B lying on the same horizontal and joint through hinges at points C and D (Fig. ). The length `AB = 2l`. A load of mass m is suspended at the hinge C. Determine the minimum force `F_(min)` aplied to the hinge D for which the middle rod remains horizontal.

A rod of mass m and length l is hinged at 'its' end and released from rest in position shown. Find the force exerted by the hinge when the rod becomes horizontal

A massless rod of length l is hinged at one end and is held horizontal by two identical vertical wires, which are tied at distances a and b form the hinged end. A load P si applied at the free end of the rod. The tension in the first is

A massless rod of length l is hinged at one end and is held horizontal by two identical vertical wires, which are tied at distances a and b form the hinged end. A load P si applied at the free end of the rod. The tension in the secound wire is

Four weightless rods of length l each are connected by hinged joints and form a rhomb (Fig). A hinge A is fixed, and a load is suspended to a hinge C. Hinges D and B are connected by a weightless spring of length 1.5l in the undeformed state. In equilibrium, the rods form angles alpha_(0) = 30^(@) with the vertical. Determine the period T of small oscillations of the load.

A uniform thin rod of length l and mass m is hinged at a distance l//4 from one of the end and released from horizontal position as shown in Fig. The angular velocity of the rod as it passes the vertical position is

A uniform rod of mass M and length L is hinged at its lower end on a table. The rod can rotate freely in vertical plane and there is no friction at the hinge. A ball of mass M and radius R = (L)/(3) is placed in contact with the vertical rod and a horizontal force F is applied at the upper end of the rod. (a) Find the acceleration of the ball immediately after the force starts acting. (b) Find the horizontal component of hinge force acting on the rod immediately after force F starts acting.

A rod PQ of mass M and length L is hinged at end P . The rod is kept horizontal by a masseless string tied to point Q as shown in Fig. When string is cut, the initial angular acceleration of the rod is :

A rigid mass less rod of length L is hinged at its one end a weight W is hung at a distance l(lt L) from this end. What is force P should be applied upwards at the other end so that the rod remains in equilibrium horizontally ? .

Two identical weightless rods are hinged to each other and to a horizontal beam (Fig.). The rigidity of each rod is k_(0) , and the angle between them is 2alpha . Determine the rigidity k of the system of rods relative to the vertical displacement of a hinge A under the action of a certain force F, assuming that displacements are small in comparison with the length of the rods.