Prndulum Example We analyze the motion of a pendulum. 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# input placeholder LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJCwmLUkkY29zR0YkNiNJInpHRiciIiMhIiIiIiIjRjBGLy9GLjsiIiEsJEkjUGlHRiUjRjEiIiQ= QyQ+SSJhRzYiLUkmZXZhbGZHJSpwcm90ZWN0ZWRHNiNJI3RtR0YlIiIi LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder JCIrYi52Jm8iISIq QyQ+SSRwbDJHNiItSSVwbG90RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiM3JSwmSSJhR0YlIiIjSSJUR0YlISIiSSZ0aGV0YUdGJS9GMjsiIiEsJEkjUGlHRikjIiIiIiIkRjk= LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder 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 We'll plot the sin function also for comparison. 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