A steel rod of length 2l, cross sectional area A and mass M is set rotating in a horizontal plane about an axis passing through the centre. If Y is the Young's modulus for steel, find the extension in the length of the rod. (assume the rod is uniform).

Find the expression for moment of inertia of a thin uniform rod about an axis passing through its centre and perpendicular to its length

A mild steel wire of length 2L and cross-sectional area A is stretched, well within elastic limit, horizontally between two pilars show in the figure A mass m is suspended from the mid point of the wire. Strain in the wire is .

Calculate the radius of gyration of a rod of mass 100 g and length 100 m about an axis passing through is centre of gravity and perpendicular to its length.

Two particles , each of mass m and charge q, are attached to the two ends of a light rigid rod of length 2 R . The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitudes of the magnetic moment of the system and its angular momentum about the centre of the rod

Find the expression for moment of inertia of a thin uniform rod about an axis passing through its one end and perpendicular to its length.

A copper rod of length 2 m fixed at one end is rotating with an angular speed 300 rad s^-1 about an axis normal to the rod and passing thorugh its fixed end. The other end of the end. The other end of the rod is in contact with a circulr metallic ring. A constant magnetic field of 0.4 T parallel to the axis exists everywhere. calculate the e.m.f. developed between the centre and the ring.

Define the theorem of parallel axes and apply it to find the moment of inertia of a uniform rod about an axis passing through one of its ends and perpendicular to its length.

A steel wire of mass mu per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal, and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform and lateral strains < < longitudinal strains, find the extension in the length of the wire. The density of steel is 7860 kg m^-3 (Young's modulues Y = 2 xx 10^11 N m^-2)

A wire of length l and cross selection area a is made of material of Young's modulus Y.If the wire is stretched by an amount x,find the work done.