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Chapter 17, Problem 44AP

(a)

To determine

To show:That the rate of change of wavelength of the fundamental mode of oscillation with time is 1.92m/s .

(b)

To determine

Whether the rate of change of wavelength of the second harmonic is also 1.92m/s at this instant.

(c)

To determine

To explain:Whether the rate of change of fundamental wavelength of the string vibration is still equal to 1.92m/s after increasing the mass of yo-yo.

(d)

To determine

To explain: Whether the rate of change of second harmonic wavelength is the same as in part (b) after increasing the mass of the yo-yo.

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The top end of a yo-yo string is held stationary. The yo-yo itself is much more massive than the string. It starts from rest and moves down with constant acceleration 0.800 m/s2 as it unwinds from the string. The rubbing of the string against the edge of the yo-yo excites transverse standing-wave vibrations in the string. Both ends of the string are nodes even as the length of the string increases. Consider the instant 1.20 s after the motion begins from rest. (a) Show that the rate of change with time of the wavelength of the fundamental mode of oscillation is 1.92 m/s. (b) What if? Is the rate of change of the wavelength of the second harmonic also 1.92 m/s at this moment? Explain your answer. (c) What if? The experiment is repeated after more mass has been added to the yo-yo body. The mass distribution is kept the same so that the yo-yo still moves with downward acceleration 0.800 m/s2. At the 1.20-s point in this case, is the rate ofchange of the fundamental wavelength of the…
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Chapter 17 Solutions

Bundle: Physics For Scientists And Engineers With Modern Physics, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Multi-term

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