How Do Forces Affect the Deformation and Young's Modulus of a Book?

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SUMMARY

The discussion focuses on calculating the change in length (ΔX) and Young's modulus for a book subjected to opposing forces of 14 N across an area of 42 cm², with a thickness of 2.0 cm and a deformation angle of 8.4°. The correct approach to determine ΔX involves using the sine function rather than cosine due to the geometry of the forces applied. The formula for Young's modulus is derived from the relationship F/A = S * ΔX/L, where S represents stress and ΔX is the change in length.

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Homework Statement



A large book has forces of magnitude 14 N applied in opposite directions to two opposite faces of area 42 cm2. The thickness of the book (L) is 2.0 cm. The deformation angle (g) is 8.4°.

1) what is change in X?
2) What is young's modulus for the book?

http://dl.getdropbox.com/u/119186/Picture%201.png

Homework Equations



I tried getting change in x doing 2cos(8.4) but I'm horrible at trig. What should I have done?

Once I do that, I can just plug it all into F/A = S*deltaX/L
Right?

What should I be doing to get the change in X?
 
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And I should have just used SIN!

Can someone explain to me why I needed to use SIN over COS in this example? I just don't get it.

What does SIN or COS intrinsically mean, represent, etc?
 

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