Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter13: Continuous Systems; Waves
Section: Chapter Questions
Problem 13.9P
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Question
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![Motor
im
Interactive Figure 16.10.2: A motor
produces a sinusoidal wave that travels
along a uniform nylon rope under tension.
Question 1
What is the speed u of the wave as it
travels along the rope?
V =
m/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F735da1a4-726a-480c-8ef4-9ca4d85d4b7e%2F71d07cb3-9b85-4404-924f-0f4ba80ac3e0%2Frxvvaf6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Motor
im
Interactive Figure 16.10.2: A motor
produces a sinusoidal wave that travels
along a uniform nylon rope under tension.
Question 1
What is the speed u of the wave as it
travels along the rope?
V =
m/s
![You are performing an experiment with a
very long, uniform, taut nylon rope-such
as is being laid out in Fig. 16.10.1. In your
experiment, the rope is horizontal when in
equilibrium. One end of the rope passes
over a massless, frictionless pulley and
holds an anchor of mass M. The other end
of the rope is connected to a motor that
moves perpendicular to the long direction
of the rope with simple harmonic motion-
see Fig. 16.10.2. The motor's maximum
displacement from equilibrium is 5.00 cm,
and it moves with a frequency of 27.0 Hz.
In so doing, the motor does work on the
rope at an average rate if 100 J/s. The
mass per unit length of the rope is
M =
78.0 g/m.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F735da1a4-726a-480c-8ef4-9ca4d85d4b7e%2F71d07cb3-9b85-4404-924f-0f4ba80ac3e0%2Frl1w9o4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You are performing an experiment with a
very long, uniform, taut nylon rope-such
as is being laid out in Fig. 16.10.1. In your
experiment, the rope is horizontal when in
equilibrium. One end of the rope passes
over a massless, frictionless pulley and
holds an anchor of mass M. The other end
of the rope is connected to a motor that
moves perpendicular to the long direction
of the rope with simple harmonic motion-
see Fig. 16.10.2. The motor's maximum
displacement from equilibrium is 5.00 cm,
and it moves with a frequency of 27.0 Hz.
In so doing, the motor does work on the
rope at an average rate if 100 J/s. The
mass per unit length of the rope is
M =
78.0 g/m.
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