Physics Elasticity Question 31
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 3L/4 from its lower end is
[IIT 1992]
Options:
A) $ \frac{W _{1}}{S} $
B) $ \frac{W _{1}+(W/4)}{S} $
C) $ \frac{W _{1}+(3W/4)}{S} $
D) $ \frac{W _{1}+W}{S} $
Show Answer
Answer:
Correct Answer: C
Solution:
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 $ =\frac{W _{1}+(3W/4)}{S} $
BETA
