The notes for the physics lab on the simple pendulum focus on studying the motion of a pendulum and verifying the relationship between its period, length, and gravitational acceleration. Key concepts include periodic motion, the dependence of the period on the length of the pendulum, and the indepe...
equation for period
with if the period is truly independent of the initial displacement the pendulum
along of
2πL
·
T =
9
·
question I
* does not depend on initial angle
·
tree-body diagram
procedure 3
·
+Y
a + X
does period depend on initial angle
L O
no ble the period stayed consistent
-
-
mysin m mo ·
graph analysis
& ↑
-
X
g -
y
&
·
acceleration *
Fy = 0 = F+ -
mG
T
no acceleration in they-direction
D
Fx = ma = -
mgsinO
O initial
ax gsin
quadratic function best represents this graph
-
=
a
·
question 2 0 = ax2 + bx + C
the coefficient c should represent the period T
-
L
T = 2π
AG
DX =
AG .
L
uncertainty in T
DX
199
=
b =
small angle approximation
·
·
if O is not too large we can say sing = O
DL19
AT =
2π -
X =
0 .
L
249
question 4
calculating radians for O
·
⑦ radians =
degree ·
I
180
calculating radians for sinG
·
sing radians = sin (degree
percent difference equation
·
O-SinG
·
100
* anangle of I t has a % diff of 0 . 997 %
SinG
o +
ofI s has a 1. diff of above 11
* an angle
·
question 5
·
write x = 1 .
O in ter ms of newton's second law
a = -
gsinf = -
gX
L
* this type of motion is simple har monic motion
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