Harmonic motion/osscilator
whenlet test basesand
M
it
won
i-
k
To
find set as a changes overtime
F ma=
F
= - hx
Lk
v
I
=
ma:-
ma=-hx
d+2
(29)
General solution to second order differential equation for self) is
x(H) Acos(n+ d)
= -
(30)
w (k
=
f
M
w 2πf
=
=1..T=
Can substitute Equation (30) into (29) to determine re
second derivative of (30)
x(H = -
w2Acos(n-q) = -
wx(t)
2
d+
of is
phase apser
the and determines the pointat which
ossulation starts.
Vi Elesch
=
=
GAcosYw+-d)
I
k 2mv2
=
=
Imia
, =
(m)- Awsin(n+-x]
Am sin (ut-d
=
Im
E k V 2 hA2 which is independent of
= =
+
time, showing energy is
conserved
Good Escampe
to
find A
and ward
①
Ivo
-
=
-
0.50ms-
sCt) A cos(w+-6)
=
- ⑪ &x(t 0)
~
dt)
=
=
x Accs)
=
-
=
Awsin(nt-y)
-0)
② v(t 0)
=
vo
= =
- Awsin) -
6
in
-
x ①xw Sow Awcos(d)
=
0
② Vo Awsin(6)
E
=
u
=
M
and add
F square
-
w
= 5.0wm
0.054g
dowt vo:Am"(cos( sinall
lOrads"
=
2 vo= An
62
+
A
=
w
A :
so
from e
A
=
0.112m
⑳==A
whenlet test basesand
M
it
won
i-
k
To
find set as a changes overtime
F ma=
F
= - hx
Lk
v
I
=
ma:-
ma=-hx
d+2
(29)
General solution to second order differential equation for self) is
x(H) Acos(n+ d)
= -
(30)
w (k
=
f
M
w 2πf
=
=1..T=
Can substitute Equation (30) into (29) to determine re
second derivative of (30)
x(H = -
w2Acos(n-q) = -
wx(t)
2
d+
of is
phase apser
the and determines the pointat which
ossulation starts.
Vi Elesch
=
=
GAcosYw+-d)
I
k 2mv2
=
=
Imia
, =
(m)- Awsin(n+-x]
Am sin (ut-d
=
Im
E k V 2 hA2 which is independent of
= =
+
time, showing energy is
conserved
Good Escampe
to
find A
and ward
①
Ivo
-
=
-
0.50ms-
sCt) A cos(w+-6)
=
- ⑪ &x(t 0)
~
dt)
=
=
x Accs)
=
-
=
Awsin(nt-y)
-0)
② v(t 0)
=
vo
= =
- Awsin) -
6
in
-
x ①xw Sow Awcos(d)
=
0
② Vo Awsin(6)
E
=
u
=
M
and add
F square
-
w
= 5.0wm
0.054g
dowt vo:Am"(cos( sinall
lOrads"
=
2 vo= An
62
+
A
=
w
A :
so
from e
A
=
0.112m
⑳==A
