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

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Forces applied to a book cause deformation, and the discussion focuses on calculating the change in length (X) and Young's modulus. The user initially attempted to use cosine for the angle but later realized that sine is the appropriate function for this scenario. The relationship between force, area, and deformation is highlighted, indicating the formula F/A = S*deltaX/L will be used after determining the correct change in X. The importance of understanding sine and cosine in relation to angles and their geometric implications is emphasized. Clarification on these trigonometric functions is essential for accurate calculations in physics problems involving deformation.
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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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