One end of 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 (`3L//4`) from its lower end is

Options

A. `(w_(1))/(S)`
B. `(w_(1)+(w)/(4))/(S)`
C. `((w_(1)+(3w)/(4))/(S))`
D. `(w_(1)+w)/(S)`

Answer

C

Explanation

(c) At length `(3L)/(4)` from lower end, tension in the wire,
T=suspended load `+(3)/(4)xx` weight of wire `=w_(1)+(3w)/(4)`
`therefore` Stress `=(T)/(S)=(w_(1)+(3w)/(4))/(S)`