Harmonic oscillator

Calculate the total energy of a body performing a harmonic oscillating motion if its mass is 200 g, the amplitude of the deflection is 2 cm and the frequency is 5 Hz. Round the result to 3 decimal places.

Correct result:

E =  0.0395 J

Solution:

m=200 g kg=200/1000  kg=0.2 kg x=2 cm m=2/100  m=0.02 m f=5 Hz g=9.81 m/s2  T=1/f=1/5=15=0.2 s ω=2π f=2 3.1416 531.4159 1/rad  f=12π km  k=ω2 m=31.41592 0.2197.3921  E=12 k x2=12 197.3921 0.022=0.0395 J



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