Hooke’s Law (AQA A-Level Further Maths): Flashcards

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Hooke's Law
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Natural length (symbol and definition)

ll, length when no forces acting on string

Extension xx formula

x=llx = l' - l (ll' = stretched length, ll = natural length)

Hooke's law statement

Tension TT is proportional to extension xx: TxT \propto x

Hooke's law with stiffness kk

T=kxT = kx

Modulus of elasticity: symbol and units

λ\lambda (lambda), measured in newtons (N)

Hooke's law using λ\lambda and ll

T=λlxT = \frac{\lambda}{l}x

EPE formula for extended string

EPE=λ2lx2\text{EPE} = \frac{\lambda}{2l}x^2

Work done stretching string by XX

W=λ2lX2W = \frac{\lambda}{2l}X^2

Light string/spring meaning

Has negligible mass

Elastic limit

Point beyond which string becomes permanently deformed

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