Section 15.6 ElasticityWhat hanging mass will increase the

Chapter 15, Problem 28E

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QUESTION:

Problem 28E

Section 15.6 Elasticity

What hanging mass will increase the length of a 1.0-mm-diameter aluminum wire by 1.0%?

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QUESTION:

Problem 28E

Section 15.6 Elasticity

What hanging mass will increase the length of a 1.0-mm-diameter aluminum wire by 1.0%?

ANSWER:

Step 1 of 2

We need to find out what hanging mass will increase the length of the aluminum wire by 1 %.

 

Step 1 of 2

The weight is hanging on the wire so the pulling force on the wire,

\(F=m g\)

The tensile stress produced by this force is given by,

Tensile stress= \(\frac{F}{A}=\frac{m g}{A}\)

Consider Young's modu

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