Number 12.7 Please help me 12.7. An oscillating pendulum, as shown in Fig. P12.7, consists of a

Number 12.7 Please help me

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12.7. An oscillating pendulum, as shown in Fig. P12.7, consists of a mass m attached to a massless sprine of spring constant k and of relaxed length 6. 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 12.7. An oscillating pendulum, as shown in Fig. P12.7, consists of a mass m attached to a massless sprine of spring constant k and of relaxed length 6. 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