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. `(WW_1)/(S)`
B. `(W_1+((W)/(4)))/(S)`
C. `(W_1+((3W)/(4)))/(S)`
D. `(W_1+W)/(S)`

Answer

C

Explanation

Total force at height `(3L)/(4)` from its lower end
`=`Weight suspended `+`Weight of `(3)/(4)` of the chain
`=W_1+((3W)/(4))`
Hence stress `=(W_1+((3W)/(4)))/(S)`