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.

There is a rod of length l and mass m . It is hinged at one end to the ceiling. The period of small oscillation is

There is a rod of length l and mass m . It is hinged at one end to the ceiling. The period of small oscillation is

A weightless rigid rod with a load at the end is hinged at point A to the wall so that it can rotate in all directions (Fig). The rod is kept in the horizontal position by a vertical inextensible thread of length 1, fixed at its midpoint. The load receives a momentum in the direction perpendicular to the plane of the figure. Determine the period T of small oscillations of the system.

A weightless rigid rod with a load at the end is hinged at point A to the wall so that it can rotate in all directions (Fig). The rod is kept in the horizontal position by a vertical inextensible thread of length 1, fixed at its midpoint. The load receives a momentum in the direction perpendicular to the plane of the figure. Determine the period T of small oscillations of the system.

A weightless rigid rod with a load at the end is hinged at point A to the wall so that it can rotate in all directions (Fig). The rod is kept in the horizontal position by a vertical inextensible thread of length 1, fixed at its midpoint. The load receives a momentum in the direction perpendicular to the plane of the figure. Determine the period T of small oscillations of the system.

A weightless horizontal rigid rod along which two balls of the same mass m can move without friction rotates at a constant angular velocity omega about a vertical axle. The balls are connected by a weightless spring of rigidity k, whose length in the undeformed state is l_(0) . The ball which is closer to the vertical axle is connected to it by he same spring. Determine the lengths of the springs. Under what conditions will be balls move in circles ?

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 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 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: