A rod of length `l` and radius `r` is joined to a rod of length `l//2` and radius `r//2` of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of `theta^(@)`, the twist angle at the joint will be

A rod of length 1 and radius .r. is joined to a rod of length l//2 and radius r//2 of same material. The free of small rod is fixed to a rigid base and the free end of larger rod is given a twist of theta . The twist angle at the point will be

In case of a rod of length l and radius r fixed at one end, angle of share phi is related to angle of twiest theta by the relation, theta = ……….

Find radius of gyration of a rod of length l and mass m about an axis perpendicular its length through one end.

Two ends of rods of length L and radius R of the same material of kept at the same temperature. Which of the following rods conducts the maximum heat?

Two ends of rods of length L and radius R of the same material of kept at the same temperature. Which of the following rods conducts the maximum heat?

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?

A large cylindrical rod of length L is made by joining two identical rods of copper and steel of length ((L)/(2)) each. The rods are completely insulated from the surroundings. If the free end of copper rod is maintained at 100^(@)C and that of steel at 0^(@)C then the temperature of junction is (Thermal conductivity of copper is 9 times that of steel)

In the given figure, a rod is free at one end and other end is fixed. When we change the temperature of rod by Deltatheta , then strain produced in the rod will be