Question: 12.7. An oscillating pendulum, as shown in Fig. P12.7, consists of a mass m attached to a massless spring of spring constant k and

12.7. An oscillating pendulum, as shown in Fig. P12.7, consists of a

12.7. An oscillating pendulum, as shown in Fig. P12.7, consists of a mass m attached to a massless spring of spring constant k and of relaxed length lo. Find Lagrange's equations of motion. Under what conditions will this system reduce to (a) a simple pendulum, and (b) a linear harmonic oscillator? Figure P12.7

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