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Circular motion
A free body following a circular path is said to be undergoing circular motion.
whilst the body may have a constant speed its
velocity is always changing because it changes direction
towards the centre of the circle.
it has centripetal acceleration






A=acceleration
v=velocity
r=radius



Radians
a radian is…

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Oscillating springs
a mass spring system will always oscillate with simple harmonic motion of period:

mass can be replaced by
length and k by gravity




therefore the only two factors that affect the period of a spring are
1. The mass
2. The spring constant
Amplitude has no effect because…

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rcos(wt) = x




1 acceleration= max, velocity=0,
displacement=min
2acceleration=min, velocity= 0,
displacement=max
3acceleration=0,velocity=max,
displacement=0.
4 acceleration=0, velocity=minimum,
displacement=0.

Acceleration and displacement are
equal but in opposite directions.
Velocity is the odd one out it is ½ way
between the two.




The restoring force is proportional to displacement but in the…

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This is assuming there are no forces working against it such as gravity and air
resistance.
To calculate the maximum potential energy E=1/2KX2 remember that x will be A at
maximum x)
to work out over time. energy=½ k(acos(wt))2
For kinetic energy =½ mv(Awsin(wt))2



Resonance
If a system is undergoing…

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