1. The mechanical energy of an ideal mass–spring system is constant as kinetic energy converts to elastic potential energy and vice versa. For comparison, explain what occurs to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies. . An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.02 sin ( 10t +"). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. Figure 2: Question 2(b) A spring mass system Activate Window

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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answer 2(a)

Known values
Mass of Sun: 1.99×100 kg: Mass of Earth: 5.98×10ª kg: Mass of Moon: 7.36×10 kg:
Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'" m; Earth-Moon distance = 3.82 ×10* m; Radius
of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I =MR²; Damped harmonic motion
b.
function: x(t) = x,e-t/2" cos(w't + q); t =;w' = wo1
2; wo =
%3D
2mao
Transcribed Image Text:Known values Mass of Sun: 1.99×100 kg: Mass of Earth: 5.98×10ª kg: Mass of Moon: 7.36×10 kg: Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'" m; Earth-Moon distance = 3.82 ×10* m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I =MR²; Damped harmonic motion b. function: x(t) = x,e-t/2" cos(w't + q); t =;w' = wo1 2; wo = %3D 2mao
Question 2
The mechanical energy of an ideal mass-spring system is constant as kinetic energy converts to
elastic potential energy and vice versa. For comparison, explain what occurs to the energy of a
damped oscillator in terms of the mechanical, potential, and kinetic energies.
b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to
а.
the equation x = 0.02 sin ( 10t +-). Find the frequency and the period of the oscillation. Find
the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the
respective quantities.
1m
wwww
Figure 2: Question 2(b) A spring mass system
Activate Windows
Transcribed Image Text:Question 2 The mechanical energy of an ideal mass-spring system is constant as kinetic energy converts to elastic potential energy and vice versa. For comparison, explain what occurs to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies. b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to а. the equation x = 0.02 sin ( 10t +-). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. 1m wwww Figure 2: Question 2(b) A spring mass system Activate Windows
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