A uniform board of mass `M` and length `L` rests on two spring scales. A person of mass `m` stands at a distance `l` from one end as shown in Fig. (a) The board and person are at rest. What is the reading of the two scales?

A uniform rod of mass M and length L rests on two supports. A ball of mass m=M//3 is placed at distance L//8 from the center as shown. Find reactions at supports.

The moment of inertia of a thin rod of mass M and length L about an axis perpendicular to the rod at a distance L/4 from one end is

A uniform thin rod of length 3 L is bent at right angles at a distance L from one end as shown in Fig. If length of rod is 1.8m , find the co-ordinates and position vector of the mass of the system.

A mass m is at a distance a from one end of a uniform rod of length l and mass M. Find the gravitational force on the mass due to tke rod.

A uniform rod of mass m and length L is suspended through two vertical strings of equal lengths fixed at ends. A small object of mass 2m is placed at distance L//4 from the left end. Find the tensions in the two strings.

A rod of mass m and length l is lying on a horizontal table. Work done in making it stand on one end will be

The radius of gyration of a uniform rod of mass m and length l about an axis perpendicular to its length and at distance l/4 from its one end will be

A uniform rod of mass m length l is attached to smooth hinge at end A and to a string at end B as shown in figure. It is at rest. The angular acceleration of the rod just after the string is cut is :

A uniform rod of mass 2m and length L is hinged at one end and carries a particle of mass m at the other end.Two springs each of force constant k are installed at distances as shown.The whole arrangement rests on a smooth horizontal surface.The frequency of small oscillations will be?