PHYSICS 5B Lecture 15: Physics 15 - 16
Another oscillatory System :Pendulum
Simple Pendulum
TT
K¥
}IFE
qU
-TT=mg cost
l
,
'
e
10e
0
q
tmg ,1tmg
t@
T-
-mg a8. I.
the ban
)
r-equation of motion for
F= Ma
-mgsino =md¥z
S=l.
Oo
.E
.
at
=e- 9¥
-mgsino =me ×9¥
#
at
=.gs#g
-for small 0,sin GE 0
Sino =o-¥+50¥ +... ...
4¥ tIo =O
⇒1¥ +±m×=o →in simple harmonic motion
,the f term Is always linear aka no sin or cos .
w=fE ⇒w=Fa
T= FF
,f=÷
e± :T= 10 s.what is The height of the ceiling
T=2T ,Fgt
e= (E) 2g
.
f- (
2%2×9.8 =24.8 m
o.gg#PNp0otint Review :E- IIF
0¥
Rotational
-
MHa¥IfE¥¥¥t÷o
%Motion 8¥ +m¥o=o
MCenter of mass w=F¥
e± .Ameter stick of length L,swinging from one end .What Is the frequency of oscillation about the pivot point ?
*
'\D= I
¥/
I=rotational inertia
r-=tz me
w= FE .:f=2€ =2a fmgtf
f=2%5*2
=2#F3g±
