Two wires of diameter , one made of steel and the other made of brass are loaded as shown in Fig. The unloaded length of steel wire is and that of brass wire is . Compute the elongations of the steel and the brass wires. [Young’s modulus of steel is

Diameter of the two wires is given as

Radius of the wires is given as

Unloaded length of the steel wire is given as

Unloaded length of the brass wire is given as

Force exerted on the steel wire will be,

Cross-section area of the steel wire is

Change in length of the steel wire is

Young’s modulus for steel is given as

Force of the brass wire will be

Cross-section area of the brass wire is

Change in length of the brass wire is

Young’s modulus of the brass wire is given as

As a result, Elongation of the steel wire is and that of brass is .