2. Pendulum Motion I. The motion of a simple pendulum, consisting of a mass M at the end of a rod of length L, is described by the following first- order differential equation:

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Pendulum Motion I. The motion of a simple pendulum, consisting of a
mass M at the end of a rod of length L., is described by the following first-
order differential equation:
do _ - g sin 0
d0
where w= angular velocity (rad/s)
0 = angle of displacement from equilibrium position
g = 9.81 m/s²
L = 1.0 m
Calculate the angular velocity of the pendulum beginning with the initial
conditions 0= 10°, a
w= 0.3.
Transcribed Image Text:Pendulum Motion I. The motion of a simple pendulum, consisting of a mass M at the end of a rod of length L., is described by the following first- order differential equation: do _ - g sin 0 d0 where w= angular velocity (rad/s) 0 = angle of displacement from equilibrium position g = 9.81 m/s² L = 1.0 m Calculate the angular velocity of the pendulum beginning with the initial conditions 0= 10°, a w= 0.3.
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