Simple Harmonic Motion Notes - AP Physics 1

Simple Harmonic Motion 04/13/23
- caused by a force thatis directly proportional to the displacement
-displacementcenters around an equil position
F,aX
Example
springs -
Hooke's Law
Es
m
0.200kg
=



Isax
2Fy 0
=




x =


constantofproportionality M Is Fg =
x 0.068m
=




R
spring constant (N/m) ↓ kx
=



mg
=




↑s kX -kx 9.8
M9 6
=


or k =



28.8
Fa
=
=

0.68


Elastic Ep Calculate x for
0.500kg mass if K 28.8N/m
=




=
v =




Fs kx
= =



fg mg =




kx mg
=




x
m 0.4m
= =




Example
slingshot:takes 30.ON to stretch 1.0cm a) whatis up bands
of when
50.0g pulled back 0.20m

b) what
speed does itleave slingshot?

a)fs kx =
30.0 k(0.013k 3000N/mb) Ep EA
=
=
=


Us = k

Vs =

5kx2 0.5(k) (0.2072
=
=
605 Vs Em
=
=

(0.050) v2
v
49m/s
=




Displacement
-
is it) when the position is to the
rightof the equil position (x =0) and (-) when
located to the left
-max
displacement amplitude (A)
=




velocity
is it) when
moving to the rightand (-) when located to the left
-




Acceleration (centr
storingforce (ais (-))
(+) * is
-



direction of when X
is & max & end points,
-
f ma =
= -

kx
or a = 0 & mid
point