Show that for a pendulum to oscillate at the same frequency as a mass on a spring, the pendulum’s length must be given by L = mg/k.
Answer to relevant QuestionsThe velocity of a vertically oscillating mass–spring system is given by v = (0.65 m/s) sin [(4 rad/s)t]. Determine (a) The amplitude and (b) The maximum acceleration of this oscillator. What is the maximum elastic potential energy of a simple horizontal mass–spring oscillator whose equation of motion is given by x = (0.350 m) sin[(7 rad/s)t]? The mass on the end of the spring is 0.900 kg. The acceleration as a function of time of a mass–spring system is given by a = (0.60 m/s2) sin[(2 rad/s)t]. If the spring constant is 10 N/m, what are (a) The amplitude, (b) The initial velocity and (c) The mass of the ...The range of sound frequencies audible to the human ear extends from about 20 Hz to 20 kHz. If the speed of sound in air is 345 m/s, what are the wavelength limits of this audible range? The fundamental frequency of a stretched string is 150 Hz. What are the frequencies of (a) The second harmonic and (b) The third harmonic?
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