SHM Memorization

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Machanics

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12 Terms

1
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w for spring

sqrt(k/m)

2
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energy spring

.5mv² + .5kx²

3
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velocity spring

v = +- sqrt((k(A²-x²))/m)

4
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acceleration spring

a = -kx/m

5
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frequency / period w/ omega

w = 2pi/T = 2pif

6
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x(t)

x(t) = Acos(wt+theta)

7
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acceleration shm any

a = -w²x

8
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vmax, amax

Vmax = Aw // Amax = Aw²

9
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Force law for shm

F = -w²mx

10
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w pendulum

w = sqrt(g/L)

11
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w physical

sqrt(mgd/I) , where d is the distance from the CM to the pivot

12
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w torsion

w = sqrt(k/I), where k is torsion constant in T = k(theta)