A marble column of cross-sectional area 1.1 m^2 supports a mass of 35 000 kg. The elastic modulus...

Question:

A marble column of cross-sectional area {eq}1.1 \, \mathrm{m^2} {/eq} supports a mass of {eq}35\,000 \, \mathrm{kg} {/eq}. The elastic modulus for marble is {eq}5.0 \times 10^{10} \, \mathrm{N/m^2} {/eq}.

(1) What is the stress within the column?

(2) What is the strain on the column?

Hooke's Law

Hooke's Law states that within the elastic limit, the stress developed in a body is directly proportional to the strain in the body. Mathematically

{eq}\begin{align} E = \frac{Stress}{Strain} \end{align} {/eq}

Answer and Explanation: 1

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  • Area of cross section {eq}A = 1.1 m^2 {/eq}
  • mass {eq}m = 35000 kg {/eq}
  • Modulus of elasticity {eq}E = 5.0 \times 10^{10} N/m^2 {/eq}

Part (1)Stress...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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