A vertical metal cylinder of radius 2 cm and length 2 m is fixed at the lower end and a load of 100 kg is put on it. Find (a) the stress (b) the strain and (c) the compression of the cylinder. Young modulus of the metal =2 x 10¹¹ N m^-2.

A solid sphere moves at a terminal velocity of 20 m s^-1 in air at a place where g = 9.8 m s^-2. The sphere is taken in a gravity-free hail having air at the same pressure and pushed down at a speed of 20 m s^-1.

A load of 10 kg is suspended by a metal wire 3 m long and having a cross-sectional area 4 mm². Find (a) the stress (b) the strain and (c) the elongation. Young modulus of the metal is 2.0 × 10¹¹ N m^-2.

The elastic limit of steel is 8 × 10⁸ N m^-2 and its Young modulus 2 × 10¹¹ N m^-2. Find the maximum elongation of a half-meter steel wire that can be given without exceeding the elastic limit.

A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of (a) the stresses developed in the two wires and (b) the strains developed. Y of steel = 2 × 10¹¹ N m^-2. Y of copper = 1.3 × 10 11 N m^-2.