A uniformly tapering conical wire is made from a material of Young's modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values Rand 3R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal:

Question

TuteeHUB · Accepted Answer

$$L\left( 1+\frac{2}{3}\frac{Mg}{\pi Y{{R}^{2}}} \right)$$

TuteeHUB · Answer

$$L\left( 1+\frac{2}{9}\frac{Mg}{\pi Y{{R}^{2}}} \right)$$

TuteeHUB · Answer

$$L\left( 1+\frac{1}{9}\frac{Mg}{\pi Y{{R}^{2}}} \right)$$

TuteeHUB · Answer

$$L\left( 1+\frac{1}{3}\frac{Mg}{\pi Y{{R}^{2}}} \right)$$

1.	A uniformly tapering conical wire is made from a material of Young's modulus Y and has a normal, unextended length L. The radii, at the upper and lower ends of this conical wire, have values Rand 3R, respectively. The upper end of the wire is fixed to a rigid support and a mass M is suspended from its lower end. The equilibrium extended length, of this wire, would equal:
A.	\[L\left( 1+\frac{2}{9}\frac{Mg}{\pi Y{{R}^{2}}} \right)\]
B.	\[L\left( 1+\frac{1}{9}\frac{Mg}{\pi Y{{R}^{2}}} \right)\]
C.	\[L\left( 1+\frac{1}{3}\frac{Mg}{\pi Y{{R}^{2}}} \right)\]
D.	\[L\left( 1+\frac{2}{3}\frac{Mg}{\pi Y{{R}^{2}}} \right)\]
Answer» D. \[L\left( 1+\frac{2}{3}\frac{Mg}{\pi Y{{R}^{2}}} \right)\]

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