A simple harmonic oscillator consists of a mass of 0.5 kgsliding on frictionless

Question

A simple harmonic oscillator consists of a mass of 0.5 kgsliding on frictionless surface under influence of force exerted byspring connected to mass. Spring constant is 500 N/m Total mechanical energy of oscillator is 1 J What is amplitude of oscillation What is period of oscillation Determine maximum speed vmaxof mass Find acceleration of system at displacement x = -0.01m A simple harmonic oscillator consists of a mass of 0.5 kgsliding on frictionless surface under influence of force exerted byspring connected to mass. Spring constant is 500 N/m Total mechanical energy of oscillator is 1 J What is amplitude of oscillation What is period of oscillation Determine maximum speed vmaxof mass Find acceleration of system at displacement x = -0.01m

Explanation / Answer

given mass = m = 0.5kg spring constant = k = 500N/m Total mechanical energy of oscillator is = E = 1/2kA2 = 1 J    a)                 A = 2/k = 0.063m b) T = 2m/k = 2 * 3.14 0.5/500 = -------s c) vmax = ±k/m*A2 = -------m/s

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