Important Elasticity Shortcuts
### Shortcut 1
Stiffness comparison:
$$Y_1>Y_2$$
means:
Material 1 is more rigid.
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### Shortcut 2
For same force:
$$\Delta L\propto\frac{L}{AY}$$
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### Shortcut 3
For same wire:
$$Y=\frac{FL}{A\Delta L}$$
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### Shortcut 4
Elastic energy:
$$U\propto(\Delta L)^2$$