[Solved]Please Solve Python Exercise85 Driven Pendulum Pendulum Driven Example Exerting Small Osci Q37087588
*Please solve in python* Exercise8.5: The driven pendulum
A pendulum can be driven by, for example, exerting a smalloscillating force horizontally on the mass. Then the equation ofmotion for the pendulum becomes , where C and Ω are constants.
a) Write a program to solve this equation for θ as a function oftime with ℓ= 10cm, C= 2s−2 andΩ= 5s−1 and make a plot of θ as afunction of time fromt= 0 tot= 100s. Start the pendulum at restwith θ= 0and dθ/dt= 0.
b) Now change the value ofΩ, while keeping C the same, to find avalue for which the pendulum resonates with the driving force andswings widely from side to side. Make a plot for this casealso.
dt2 Exercise 8.5: The driven pendulum A pendulum like the one in Exercise 8.4 can be driven by, for example, exerting a small oscil- lating force horizontally on the mass. Then the equation of motion for the pendulum becomes dt2 where C and Ω are constants. a) Write a program to solve this equation for θ as a function of time with 1 = 10 cm, C = 2s-2 and Ω 5s-1 and make a plot of θ as a function of time from t-0 to t-100s. Start the pendulum at rest with θ-0 and de/dt 0. b) Now change the value of Ω, while keeping C the same, to find a value for which the pendulum resonates with the driving force and swings widely from side to side. Make a plot for this case also. Show transcribed image text dt2
Exercise 8.5: The driven pendulum A pendulum like the one in Exercise 8.4 can be driven by, for example, exerting a small oscil- lating force horizontally on the mass. Then the equation of motion for the pendulum becomes dt2 where C and Ω are constants. a) Write a program to solve this equation for θ as a function of time with 1 = 10 cm, C = 2s-2 and Ω 5s-1 and make a plot of θ as a function of time from t-0 to t-100s. Start the pendulum at rest with θ-0 and de/dt 0. b) Now change the value of Ω, while keeping C the same, to find a value for which the pendulum resonates with the driving force and swings widely from side to side. Make a plot for this case also.
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