Exam 13: Vibrations and Waves

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Two springs,each with spring constant k,are attached end to end in a series fashion.A second pair of identical springs are also attached in series fashion.Then the pair of series attached springs are attached in parallel to each other.What is the effective spring constant of the resulting combination of springs?

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A mass of 0.4 kg,hanging from a spring with a spring constant of 87 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through a point at 0.05 m displacement? The starting displacement of the mass is 0.1 m from its equilibrium position.

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Suppose a 0.9-kg mass on a spring that has been compressed 0.1 m has elastic potential energy of 1.1 J.What is the spring constant? ​

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A string is strung horizontally with a fixed tension.A wave of frequency 90 Hz is sent along the string,and it has a wave speed of 55.1 m/s.Then a second wave,one of frequency 180 Hz,is sent along the string.What is the wave speed of the second wave? ​

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If the frequency of a traveling wave train is increased by a factor of three in a medium where the speed is constant,which of the following is the result?

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A mass of 0.4 kg,attached to a spring with a spring constant of 80 N/m,is set into simple harmonic motion.What is the magnitude of the acceleration of the mass when at its maximum displacement of 0.2 m from the equilibrium position? ​

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When an object is moving in simple harmonic motion,which of the following is at a minimum when the displacement from equilibrium is zero?

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A mass of 0.39 kg,hanging from a spring with a spring constant of 72 N/m,is set into an up-and-down simple harmonic motion.What is the speed of the mass when moving through the equilibrium point? The starting displacement from equilibrium is 0.14 m. ​

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A mass on a spring vibrates in simple harmonic motion at a frequency of 3.9 Hz and an amplitude of 7.8 cm.If a timer is started when its displacement is a maximum (hence x = 7.8 cm when t = 0),what is the displacement of the mass when t = 3.4 s? ​

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Which of the following is an example of a longitudinal wave?

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Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?

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Equal wavelength waves of amplitude 0.24 m and 0.16 m interfere with one another.What is the resulting minimum amplitude that can result? ​

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Which is not an example of approximate simple harmonic motion?

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The superposition principle has to do with which of the following?

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A pendulum on the Earth has a period T.The acceleration of due to gravity on Mars is less than that on the Earth,and the acceleration due to gravity on the Moon is even less.Where would the period of an identical pendulum be the least?

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When car shock absorbers wear out and lose their damping ability,what is the resulting oscillating behavior?

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A mass on a spring vibrates in simple harmonic motion at a frequency of 4.2 Hz and an amplitude of 4.2 cm.If a timer is started when its displacement is a maximum (hence x = 4.2 cm when t = 0),what is the acceleration magnitude when t = 4 s? ​

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A mass-spring system on a horizontal frictionless surface is set in simple harmonic motion with amplitude A.The mass is then doubled and the system is again set into simple harmonic motion with the same amplitude.Which of the following is true about the total mechanical energy of the system due to doubling the mass?

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A mass on a spring vibrates in simple harmonic motion at a frequency of 2 Hz and an amplitude of 7 cm.If a timer is started when its displacement is a maximum (hence x = 7 cm when t = 0),what is the speed of the mass when t = 7 s? ​

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A simple pendulum has a mass of 0.21 kg and a length of 1.9 m.It is displaced through an angle of 36° and then released.After a time,the maximum angle of swing is only 12°.How much energy has been lost to friction? ​

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