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Critical Damping and Over-Damping Conditions

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Wize University Physics Textbook (Master) > Periodic Motion: Oscillations

Critical Damping and Over-Damping Conditions

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A mass of m=500 gm = 500\ \mathrm{g} is attached to a spring with spring constant k=10 N/mk = 10\ \mathrm{N}/\mathrm{m}. This system has a damping coefficient of b=3.2 kg/sb=3.2\ \mathrm{kg}/\mathrm{s}. If we want to modify the mass to obtain critically damped motion, what shall we do?
More Critical Damping and Over-Damping Conditions Questions:
An oscillator is currently undergoing critically damping motion. What kind of motion would it undergo if the amplitude of the oscillation is increased?
Damping motion
An oscillator is currently undergoing critically damping motion. What kind of motion would it undergo if mass is increased?
An oscillator is currently undergoing critically damping motion. What kind of motion would it undergo if friction is increased?
50 kgkg person taking a bungee jump:
a. If the initial length of the bungee cord is 20 mm and at the lowest point, the length of the cord is 25mm, what is the spring constant of the cord?
b. After the jump, the person is experiencing a damping oscillation. What is the damping constant if the amplitude of its oscillation reduces to 15\frac{1}{5} of its original amplitude after 20 s?
Practice: Damped Oscillation
A 0.3 kg0.3\ kgmass undergoes a damped oscillation with the damping constant 5 kgs5\ \frac{kg}{s}. How long does it take for the amplitude and total energy of the oscillation to be 14\frac{1}{4}of their initial values respectively?