Consider a pendulum consisting of a mass m 020 kg at the en

Consider a pendulum consisting of a mass m = 0.20 kg at the end of a massless rod 1.20 m long attached to the ceiling. The mass is displaced 5.0 cm from equilibrium, let go. and allowed to oscillate freely. After 10 oscillations, its amplitude is 4.0 cm. (a) Is the system over damped. under damped. or critically damped? Is the value of Q much greater than 1 or much less than 1 (do not calculate Q yet). Briefly explain (1 or 2 short sentences!). (b) Using the fact that the amplitude of oscillations decays approximately as determine the approximate numerical value (correct to within 5%) of Q for this system.

Solution

Answer:

(a) System is underdamped because amplitude decreases with oscillatory motion. In case of critically and overdamped system doesn\'t go oscillatory motion.