One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 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 (3 L / 4) from its lower end is

Question

One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1 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 (3 L / 4) from its lower end is (A) (W1/s) (B) [W1+(W/4)] s (C) [W1+(3 W/4)] / s (D) (W1+W/s)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2e110be5885abdce2d800f094b299029-.png" /> T=W1+(3 W/4) Stress =(T/A)=[(W1+(3 W/4)/s)]

Q. 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 $(3 L /4)$ from its lower end is

$\frac{W _{1}}{s}$

$[W_{1} + \frac{W}{4}] s$

$[W_{1} + \frac{3 W}{4}] / s$

$\frac{W _{1} + W}{s}$

$T = W_{1} + \frac{3 W}{4}$
Stress $= \frac{T}{A} = [\frac{W _{1} + \frac{3 W}{4}}{s}]$

Q. One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight W1​ 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

sW1​​

[W1​+4W​]s

[W1​+43W​]/s

sW1​+W​