Periodic Motion
, Simple Harmonic Motion
The acceleration and resultant
force of body is proportional to
·
a
its displacement from its equalibrium position .
The acceleration and resultant
force acts towards equilibrium position.
REMEMBER :
r acceleration
Force are both vectors so have size a
direction .
size
The
first point talks about the
of the
restoring F
or a second talks about direction
-
Main examples
of SMM :
~ Pendulums
> Mass on a
spring
.
a = - w2x
gradient-
, Equations for Simple Marmonic Motion
.
x = Aeos (wt) x =
displacement
A =
amplitude
v = - wa sin (wt) t =
time
angua velocity
w =
>
A cas(wt)
a w v
velocity
=
- =
a = wax a = acceleration .
·
The last equation =
definition of simple hamonic motion
. Calculator must be
set to radians
.
REMEMBER = SW =
Gif
Maximum
velocity and acceleration
v =
WAsin(wt) a =
-wit cos(wt)
max of sina cos =
↓
- . v = wit a = -
=A
[maximum displacement
amplitude]
=
, Simple Harmonic Motion
The acceleration and resultant
force of body is proportional to
·
a
its displacement from its equalibrium position .
The acceleration and resultant
force acts towards equilibrium position.
REMEMBER :
r acceleration
Force are both vectors so have size a
direction .
size
The
first point talks about the
of the
restoring F
or a second talks about direction
-
Main examples
of SMM :
~ Pendulums
> Mass on a
spring
.
a = - w2x
gradient-
, Equations for Simple Marmonic Motion
.
x = Aeos (wt) x =
displacement
A =
amplitude
v = - wa sin (wt) t =
time
angua velocity
w =
>
A cas(wt)
a w v
velocity
=
- =
a = wax a = acceleration .
·
The last equation =
definition of simple hamonic motion
. Calculator must be
set to radians
.
REMEMBER = SW =
Gif
Maximum
velocity and acceleration
v =
WAsin(wt) a =
-wit cos(wt)
max of sina cos =
↓
- . v = wit a = -
=A
[maximum displacement
amplitude]
=
