When a load W is suspended from a wire, it elongates by 1.0 mm . If this same wire is passed over a pulley and a weight W is attached to each of its two ends, the total elongation of the wire will be

Step-by-step solution

Let the original length of the wire be L , area of cross-section be A , and Young's modulus be Y . When a load W is suspended from the wire, the tension in the wire is T = W . The elongation is given by: L = WL AY = 1.0 mm When the same wire is passed over a pulley and a weight W is attached to each of its two ends, the system is in equilibrium and the tension in the entire wire remains T' = W . The total elongation of the wire is: L' = T'L AY = WL AY = 1.0 mm