ch 7 simple harmonic motion
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18 Terms
Hooke’s law
F = -kx
Hooke’s Law for vertical motion
F = mg - kx
frequency in general
f = 1/T
period in general
T = 1/f = time/rev = time/# of cycles
period for mass spring system
T = 2pi/w = 2pi* sqrt (m/k)
frequency for mass spring system
f = 1/T = w/2pi = 1/2pi* sqrt(k/m)
angular frequency
w = sqrt(k/m)
max velocity
Aw = A*sqrt(k/m)
max acceleration
Aw²
restoring force for pendulum
Fx = mg sin(theta)
x component
period for pendulum
T = 2pi * sqrt(L/g)
frequency for pendulum
T = 1/2pi * sqrt(g/L)
elastic potential energy of spring
U = 1/2kx²
kinetic energy of simple harmonic motion
KE = 1/2mv²
total mechanical energy
ME = KE + U = 1/2mv² + 1/2kx²
total mechanical energy at maximum displacement
ME = KE + U = 0 + 1/2kx² = 1/2kA²
total mechanical energy at equilibrium
ME = KE + U = 1/2mv² + 0 = 1/2mv_max²
total mechanical energy between max displacement and equilibrium
ME = KE + U = 1/2mv² + 1/2kx²
Note 
Flashcards (20)