1. Consider a damped harmonic oscillator whose mass m= 0.05 kg, k=5.0 N/m and damping constant b. With initial conditions x,= 0.01 m, p=0, A=0.1m and v₁=0 m/s. Evaluate each case of damped oscillator and write the corresponding equation of motion of damped harmonic oscillator: a. Critically damped oscillator with b=1.0 b. Underdamped oscillator with b=.10 c. Overdamped oscillator with b=5.0
1. Consider a damped harmonic oscillator whose mass m= 0.05 kg, k=5.0 N/m and damping constant b. With initial conditions x,= 0.01 m, p=0, A=0.1m and v₁=0 m/s. Evaluate each case of damped oscillator and write the corresponding equation of motion of damped harmonic oscillator: a. Critically damped oscillator with b=1.0 b. Underdamped oscillator with b=.10 c. Overdamped oscillator with b=5.0
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Theoretical Mechanics
Topic: Oscillations
Transcribed Image Text:1. Consider a damped harmonic oscillator whose mass m= 0.05 kg,
k=5.0 N/m and damping constant b. With initial conditions x₁= 0.01
m, þ=0, A=0.1m and_v₁=0 m/s. _Evaluate each case of
damped oscillator and write the corresponding equation of motion
of damped harmonic oscillator:
a. Critically damped oscillator with b=1.0
b. Underdamped oscillator with b=.10
c. Overdamped oscillator with b=5.0
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