Structure and Interpretation of Classical Mechanics

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**e**. Make a Lagrangian () for the system described with the irredundant generalized coordinates , , and compute the Lagrange equations from this Lagrangian. They should be the same equations as you derived for the same coordinates in part **d**.

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[guess]

(define ((L-cm m0 m1 l) local) (let* ((q (coordinate local)) (v (velocity local)) (x_cm (ref q 0)) (y_cm (ref q 1)) (theta (ref q 2)) (x_cm_dot (ref v 0)) (y_cm_dot (ref v 1)) (theta_dot (ref v 2)) (M (+ m0 m1)) (mu (/ 1 (+ (/ 1 m0) (/ 1 m1))))) (+ (* (/ 1 2) M (+ (square x_cm_dot) (square y_cm_dot))) (* (/ 1 2) mu (square l) (square theta_dot)))))

(show-expression (((Lagrange-equations (L-cm 'm_0 'm_1 'l)) (up (literal-function 'x_cm) (literal-function 'y_cm) (literal-function 'theta))) 't))

[guess]

— Me@2021-12-22 01:20:55 PM

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2021.12.22 Wednesday (c) All rights reserved by ACHK

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