Simple Harmonic Motion

 

Vibrating Mass on a Spring

 

KE1 + PE1 = KE2 + PE2

 

 

Where is the a the greatest? smallest?

 

a is greatest at ends (F is greatest)

a = 0 in middle since F = 0

 

 

Period

 - time for one full cycle

- determined by ....

 

mass and k

m = mass in kg

 k = spring constant = F/x (N/m)

T = 1/f

 

PE at C equals .....

 

 

KE at B

 

 

Ex) Mass M is attached to a spring with a spring constant k

If the maximum displacement of a mass M from its equilibrium position is A, find the velocity of the mass at B is

 

 

PEmax = KE

1/2kA2 = 1/2mv2

 

 

 

 

 

 

Velocity Amplitude Direct

 

 

 

 

 

 

 

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