a) Derive an expression for the logarithmic decrement of a damped oscillator.
b) A block attached to a spring is made to oscillate with initial amplitude
of 8.0 cm. After 2.2 minutes, the amplitude decreases to 5.0 cm. Calculate
(i) the time when the amplitude becomes 2.0 cm, and (ii) the value of damping
constant gamma for this motion.
c. A sound wave of frequency 300 Hz travels with speed 340ms-1 along
the negative x-direction. Each point of the medium moves up and down through a
total distance of 5.0 mm. Determine the necessary parameters to represent the
wave mathematically.
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