Question: Show that the total energy of a mass spring system in
Show that the total energy of a mass–spring system in simple harmonic motion is given by ½ mw2A2.
Answer to relevant QuestionsShow 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. The equation of motion of a particle in vertical SHM is given by y = (10 cm) sin [(0.50 rad/s)t]. What are the particle’s (a) Displacement, (b) Velocity, and (c) Acceleration at t = 1.0s? The forces acting on a simple pendulum are shown in Fig. 13.26. (a) Show that, for the small angle approximation (sin θ ≈ θ), the force producing the motion has the same form as Hooke’s law. (b) Show by analogy with ...A sonar generator on a submarine produces periodic ultrasonic waves at a frequency of 2.50 MHz. The wave-length of the waves in seawater is 4.80 x 10-4 m. When the generator is directed downward, an echo reflected from the ...If the frequency of the third harmonic of a vibrating string is 600 Hz, what is the frequency of the first harmonic?
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