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| 1 | +# https://en.wikipedia.org/wiki/Pendulum |
| 2 | +import numpy as np |
| 3 | +import matplotlib.pyplot as plt |
| 4 | +from matplotlib.animation import FuncAnimation |
| 5 | + |
| 6 | + |
| 7 | +def full_pendulum(g, l, theta, theta_velocity, time_step): |
| 8 | + """ |
| 9 | + fungsi untuk menghitung persamaan pendulum. |
| 10 | + """ |
| 11 | + theta_acceleration = -(g / l) * np.sin(theta) |
| 12 | + theta_velocity += time_step * theta_acceleration |
| 13 | + theta += time_step * theta_velocity |
| 14 | + return theta, theta_velocity |
| 15 | + |
| 16 | + |
| 17 | +g = 9.8 # konstanta gravitasi |
| 18 | +l = 1.0 # panjang tali |
| 19 | + |
| 20 | + |
| 21 | +theta = [np.radians(90)] |
| 22 | +theta_velocity = 0 |
| 23 | +time_step = 20 / 300 |
| 24 | + |
| 25 | + |
| 26 | +time_stap = np.linspace(0, 20, 300) |
| 27 | +""" |
| 28 | +Looping untuk memasukkan setiap angka. |
| 29 | +""" |
| 30 | +for t in time_stap: |
| 31 | + theta_new, theta_velocity = full_pendulum(g, l, theta[-1], |
| 32 | + theta_velocity, time_step) |
| 33 | + theta.append(theta_new) |
| 34 | + |
| 35 | +# persamaan proyeksi panjang tali |
| 36 | +x = l * np.sin(theta) |
| 37 | +y = -l * np.cos(theta) |
| 38 | + |
| 39 | +fig, axis = plt.subplots() |
| 40 | + |
| 41 | +# batas sumbu x dan y |
| 42 | +axis.set_xlim(-l - 0.2 , l + 0.2) |
| 43 | +axis.set_ylim(-l - 0.2 , l) |
| 44 | + |
| 45 | +plt.grid() |
| 46 | + |
| 47 | +# benda yang akan bergerak |
| 48 | +rod_line, = axis.plot([], [], lw=2) |
| 49 | +mass_point, = axis.plot([], [], marker='o', markersize=10) |
| 50 | +trace, = axis.plot([], [], '-', lw=1, alpha=0.6) |
| 51 | + |
| 52 | + |
| 53 | +def animate(frame): |
| 54 | + """ |
| 55 | + Fungsi ini berguna untuk mengambil setiap hasil hitungan |
| 56 | + dan menjadikan setiap hitungan frame. |
| 57 | + """ |
| 58 | + rod_line.set_data([0, x[frame]], [0, y[frame]]) |
| 59 | + mass_point.set_data([x[frame]], [y[frame]]) |
| 60 | + trace.set_data(x[:frame], y[:frame]) |
| 61 | + |
| 62 | + return rod_line, mass_point, trace |
| 63 | + |
| 64 | + |
| 65 | +animation = FuncAnimation( |
| 66 | + fig=fig, |
| 67 | + func=animate, |
| 68 | + frames=len(time_stap), |
| 69 | + interval=25, |
| 70 | + blit=True |
| 71 | +) |
| 72 | + |
| 73 | +plt.show() |
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