I need to use Lagrangian in the code. I am supposed to use y0, y1, y2, y3, f0, f1, f2, and f3. While y0 is rdot and y2 is theta dot. I don't know what dr/dt and d theta/dt should be here.
In the previous exercise, but now let the T swing <Vk/m.) m 6.27. Coffee cup and mass** A coffee cup of mass M is connected to a mass m by a string. The coffee cup hangs over a frictionless pulley of negligible size, and the mass m is initially held with the string horizontal, as shown in Fig. 6.28. The M mass m is then released. Find the equations of motion for r (the length of string between m and the pulley) and (the angle that the string to Fig. 6.28 m makes with the horizontal). Assume that m somehow doesn't run into the string holding the cup up. The coffee cup will initially fall, but it turns out that it will reach a lowest point and then rise back up. Write a program (see Section 1.4 that numerically determines the ratio of the r at this lowest point to the r at the start, for a given value of m/M. To check your program, a value of m/M=1/10 yields a ratio of about 0.208. m 6.28. Three falling sticks ** Three massless sticks of length 2r, each with a mass m fixed at its middle, are hinged at their ends, as shown in Fig. 6.29. The bottom m end of the lower stick is hinged at the ground. They are held such that
