Graphics Programs Reference
In-Depth Information
16 m
−
3
(determinedbythe density and dimensions of the float) and
where
a
=
80665 m/s
2
. If the float is raised to the position
y
g
=
9
.
=
0
.
1 m and released,
determine the period and the amplitude of the oscillations.
11.
y
(
t
)
θ
L
m
The pendulum issuspended fromasliding collar. The systemis at rest when the
oscillating motion
y
(
t
)
=
Y
sin
ω
t
is imposed on the collar,starting at
t
=
0. The
differentialequationdescribing the motion of the pendulum is
θ
+
ω
2
L
Y
cos
g
L
sin
¨
θ
=−
θ
sin
ω
t
Plot
θ
vs.
t
from
t
=
0to10sand determine the largest
θ
during this period. Use
80665 m/s
2
,
L
g
=
9
.
=
1
.
0 m,
Y
=
0
.
25 m and
ω
=
2
.
5rad/s.
12.
θ
(
t
)
The system consisting of a sliding mass and a guide rodis at rest with the mass
at
r
=
0
.
75 m. Attime
t
=
0 amotoristurned on that imposes the motion
θ
(
t
)
=
(
t
on the rod. The differentialequationdescribing the resultingmotion
of the slideris
π/
12) cos
π
π
2
g
sin
12
cos
t
2
12
r
sin
2
r
=
π
t
−
π
Determine the time when the sliderreaches the tip of the rod. Use
g
=
9
.
80665
m/s
2
.
13.
y
v
0
m
30
R
x
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