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50 kg person taking a bungee jump: a. If the initial length of the bungee cord …

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

Energy Conservation

3 Activities

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

Critical Damping and Over-Damping Conditions

3 Activities

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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?
c. How many full oscillations does the person experience in this 20 s?
More Energy Conservation Questions:
This question concerns the great garbage patch in the middle of Pacific ocean. Consider the garbage patch to be a perfect cylinder. At this moment 100 seagulls are sitting on the patch. Every time a wave hits the garbage patch the garbage patch bobs up and down 5 times in 7.2 seconds. When the garbage patch is still the 100 seagulls leave. You know notice that the garbage bobs up and down 5 times in 7 seconds.
The garbage patch weighs 1000 kg. (To make calculations simpler this number is much smaller than the real number.)
a) What is the total mass of the 100 seagulls
Conservation of energy: Spring
A spring when compressed 40 cm, has 20J of elastic potential energy. We cut the spring in half. We compress one half for 30 cm. How much elastic energy is stored in the half spring?
Conservation of Energy
A system of a block of mass 400 𝑔 and a spring with the force constant 50 N/m is oscillating on a frictionless surface as shown in the diagram below. The amplitude of this oscillation is 20 𝑐𝑚. Another block with a mass of 200 𝑔, moving toward the right in the diagram below, strikes the 400 𝑔 mass at the instant when the spring is upstretched and sticks to it on impact. The resulting system is observed to oscillate with an amplitude of 30 𝑐𝑚.
a. What is the period of oscillation when the two blocks stick together?
b. Was the 400 𝑔 mass moving towards the left or right when the other
More Critical Damping and Over-Damping Conditions Questions:
Critical Damping and Over-Damping Conditions
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?
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?
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?