In an oscillating spring, where is the maximum acceleration achieved?

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Transcript of In an oscillating spring, where is the maximum acceleration achieved?

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  • In an oscillating spring, where is the maximum acceleration achieved?
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  • Answer: At the maximum displacement positions
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  • When the spring is stretched and released, what direction does the spring force act?
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  • Toward the equilibrium position
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  • When the spring is stretched and released, when is speed equal to 0?
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  • Answer: at the point of maximum displacement.
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  • Often, the negative sign in Hookes Law is ignored... Why is this possible?
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  • Answer: because the sign indicates that the force and displacement are in opposite direcitons
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  • What are the units for k?
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  • Answer: N/m
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  • When using Hookes Law, what units does the displacement value need to be in?
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  • Answer: meters
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  • In an oscillating system, where is the greatest kinetic energy located?
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  • Answer: At the equilibrium positon
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  • If the mass of a pendulum cut in half, what happens to the period?
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  • Answer: no change, mass does not affect the period of a pendulum
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  • If the length of a pendulum is increased by 16 times, what happens to the period?
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  • Answer: increases 4 times longer
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  • If a pendulum clock keeps perfect time at the base of a mountain, will it also keep perfect time when moved to the top of the mountain? Why.
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  • No, the gravity is slightly different so the period will change also
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  • The moons gravity is 1/6 of Earth. If a mass spring system with a mass of 2 kg has a period of 3 sec on Earth, what will be the period on the moon?
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  • 3 sec, gravity does not affect mass- spring systems.
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  • If you know the cycles and time, how do you find frequency?
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  • Cycles divided by sec
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  • Given period, how do you find frequency?
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  • 1 divided by the period, they are recipricals
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  • If a grandfather clock is running slow, how can you adjust the length of the pendulum to correct the time?
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  • Shorten the length to shorten the period
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  • Problems
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  • If a force of 50 N stretches a spring.10 m, what is the spring constant?
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  • 500 N/m
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  • A mass on a spring vibrates in simple harmonic motion at an amplitude of 8.0 cm. If the mass of the object is.20 kg and the spring constant is 130 N/m, what is the frequency?
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  • 4.0 Hz
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  • On the planet Xenos, an astronaut observes that a 1.00 m long pendulum has a period of 1.50 s. What is the free-fall acceleration on Xenos?
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  • 17.5 m/s 2
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  • A pendulum goes past the equilibrium position once every 2 seconds, what is frequency of the pendulum?
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  • .25 Hz