Graphics Programs Reference
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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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