0113 lecture notes - ap physics 1 review of simple ... · 0113 lecture notes - ap physics 1 review...
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0113 Lecture Notes - AP Physics 1 Review of Simple Harmonic Motion.docx page 1 of 2
Flipping Physics Lecture Notes: AP Physics 1 Review of Simple Harmonic Motion
https://www.flippingphysics.com/ap1-shm-review.html
AP® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. The mass-spring system shown at right is in simple harmonic motion. The mass moves through the following positions: 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, etc. Simple Harmonic Motion (SHM) is caused by a Restoring Force:
- A Restoring Force is always: o Towards the equilibrium
position. o Magnitude is proportional
to distance from equilibrium position.
To derive the equation for position in SHM, we start by comparing simple harmonic motion to circular motion.
&
(letting r = A) Looking at the graphs …
cosθ = A
H= x
r⇒ x = r cosθ
T = 2π
ω= 1
f⇒ω = 2π f
ω = Δθ
Δt=θ
f−θ
i
tf− t
i
=θ
f− 0
tf− 0
= θt⇒θ =ωt
x = r cosθ = r cos ωt( ) = r cos 2π f( ) t( )⎡⎣ ⎤⎦ = Acos 2π f( ) t( )⎡⎣ ⎤⎦
0113 Lecture Notes - AP Physics 1 Review of Simple Harmonic Motion.docx page 2 of 2
The period of a mass-spring system: Is independent of amplitude and acceleration due to gravity.
The period of a pendulum: Is independent of amplitude and mass.
T
s= 2π m
k
T
p= 2π L
g
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