Kevin S. Huang

2008: Problem 20

Topic: Other
Concepts: Limiting cases, Young’s modulus

Solution:

Eliminate:

(a) $h\exp\left(\frac{\rho gL}{E}\right)$
If $L=0$ , the deflection should be zero.
(b) $2\frac{\rho gh^2}{E}$
If $L=0$ , the deflection should be zero.
(c) $\sqrt{2Lh}$
Deflection should decrease as Young’s modulus $E$ increases.
(e) $\sqrt{3}\frac{EL}{\rho gh}$
Deflection should decrease as Young’s modulus $E$ increases.

Thus, the answer is D.

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2008, F=ma Exam

Fma: Other, Limiting cases, Young’s modulus

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