Question

One end of a uniform wire of length $L$ and of weight $W$ is attached rigidly to a point in the roof and a weight $W_1$ is suspended from its lower end. If $S$ is the area of cross-section of the wire, the stress in the wire at a height \(\frac{3L}{4}\) from its lower end is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

The weight hanging below the point at a distance $\frac{3L}{4}$ from the lower end is $(W_1+\frac{3W}{4})$.

Therefore,

$Stress=\frac{W_1+\frac{3W}{4}}{S}$