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How is the formula for period of oscillation derived?

t=2pisqrt(m/k)

t=2pisqrt(m/k)

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- Thread starter TyErd
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- #1

- 299

- 0

How is the formula for period of oscillation derived?

t=2pisqrt(m/k)

t=2pisqrt(m/k)

- #2

rl.bhat

Homework Helper

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In sprindHow is the formula for period of oscillation derived?

t=2pisqrt(m/k)

F = -kx

ma = -kx

a - -(k/m)x

d^2x/dt^2 = -(k/m)x

Put x = Asin(ωt)

And substitute in the above equation.

- #3

radou

Homework Helper

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Take an undamped spring-mass system (spring constant k, mass attached m), write down Newton's 2nd Law, and see where it leads.

(A bit late, pardon me)

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