Consider the nonlinear pendulum equation 0"+ () sin 0 = 0. The g denotes the gravitational acceleration and L denotes length. Suppose gravity g is 9.8 meters per second squared, and the length of the pendulum is 10 meters. Suppose the initial angle is 1 radians and initial angular velocity is 2.2 radians per second. Find the formula for the trajectory of the pendulum. Write "theta" for 0. help (formulas) Now find the maximum arily= - velocity of the pendulum given these initial conditions. Wmax help (numbers) Does the pendulum swing back and forth or keep rotating around its axis? ? The pendulum is swinging back and forth. The pendulum is rotating around its axis.

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Consider the nonlinear pendulum equation 0" + ) sin 0 = 0. The g denotes the gravitational
acceleration and L denotes length.
Suppose gravity g is 9.8 meters per second squared, and the length of the pendulum is 10 meters.
Suppose the initial angle is 1 radians and initial angular velocity is 2.2 radians per second.
Find the formula for the trajectory of the pendulum. Write theta" for 0.
w? =
help (formulas)
Now find the maximum arly- : velocity of the pendulum given these initial conditions.
Wmax
help (numbers)
Does the pendulum swing back and forth or keep rotating around its axis?
?
The pendulum is swinging back and forth.
N The pendulum is rotating around its axis.
Transcribed Image Text:Consider the nonlinear pendulum equation 0" + ) sin 0 = 0. The g denotes the gravitational acceleration and L denotes length. Suppose gravity g is 9.8 meters per second squared, and the length of the pendulum is 10 meters. Suppose the initial angle is 1 radians and initial angular velocity is 2.2 radians per second. Find the formula for the trajectory of the pendulum. Write theta" for 0. w? = help (formulas) Now find the maximum arly- : velocity of the pendulum given these initial conditions. Wmax help (numbers) Does the pendulum swing back and forth or keep rotating around its axis? ? The pendulum is swinging back and forth. N The pendulum is rotating around its axis.
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