In the given figure, two elastic rods P and Q are rigidly joined to end supports. A small mass m is moving with velocity v between the rods. All collisions are assumed to be elastic and the surface is given to be smooth. The time period of small mass m will be (A=area of cross section, Y=Young's modulus, L=length of each rod)

A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is

A uniform rod of mass m and length l is suspended about its end. Time period of small angular oscillations is

A rod of length L kept on a smooth horizontal surface is pulled along its length by a force F. The area of cross-section is A and Young's modulus is Y. The extension in the rod is

A rod of length L kept on a smooth horizontal surface is pulled along its length by a force F. The area of cross-section is A and Young's modulus is Y. The extension in the rod is

A rod of mass 4m and length L is hinged at the mid point. A ball of mass 'm' moving with speed V in the plane of rod, strikes at the end at an angle of 45^@ and sticks to it. The angular velocity of system after collision is-

A rod of mass 4m and length L is hinged at the mid point. A ball of mass 'm' moving with speed V in the plane of rod, strikes at the end at an angle of 45^@ and sticks to it. The angular velocity of system after collision is-

A uniform rod of mass m and length L is at rest on a smooth horizontal surface. A ball of mass m, moving with velocity v_0 , hits the rod perpendicularly at its one end and sticks to it. The angular velocity of rod after collision is

Two point masses of mass m and 2m placed on smooth horizontal plane are connected by a light rod of length l. Masses are given velocities in horizontal plane perpendicular to rod as shown. If area of cross section of rod is A and Young's modulus is Y, then elongation in the rod, will be

A uniform rod of mass M and length l is placed on a smooth- horizontal surface with its one end pivoted to the surface. A small ball of mass m moving along the surface with a velocity v_(0) , perpendicular to the rod, collides elastically with the free end of the rod. Find: a. the angular velocity of the rod after collision. b. the impulse applied by the pivot on the rod during collision. (Take M//m = 2 )