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Consider the pendulum system but with no friction or forcing, i.e. q = A=0. What would equation (29.3) become in this case? Use the last

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Consider the pendulum system but with no friction or forcing, i.e. q = A=0. What would equation (29.3) become in this case? Use the last example to solve the system with the initial condition (8,0)' for lo = .11. Use the plot of the solution to find the frequency of the pendulum with this initial condition. Do the same for Bo = .57 and 97. How does the frequency depend on the amplitude of a pendulum? 92 91 = y2 j2 = -cy2 - w sin(yi) +a sin(St). (29.3) y = = (-az Y2 -cy2 - wsin(91) + a sin(226) y 2t 2). Consider the pendulum system but with no friction or forcing, i.e. q = A=0. What would equation (29.3) become in this case? Use the last example to solve the system with the initial condition (8,0)' for lo = .11. Use the plot of the solution to find the frequency of the pendulum with this initial condition. Do the same for Bo = .57 and 97. How does the frequency depend on the amplitude of a pendulum? 92 91 = y2 j2 = -cy2 - w sin(yi) +a sin(St). (29.3) y = = (-az Y2 -cy2 - wsin(91) + a sin(226) y 2t 2)

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