MotorimInteractive Figure 16.10.2: A motorproduces a sinusoidal wave that travelsalong a uniform nylon rope under tension.Question 1What is the speed u of the wave as ittravels along the rope?V =m/s You are performing an experiment with avery long, uniform, taut nylon rope-suchas is being laid out in Fig. 16.10.1. In yourexperiment, the rope is horizontal when inequilibrium. One end of the rope passesover a massless, frictionless pulley andholds an anchor of mass M. The other endof the rope is connected to a motor thatmoves perpendicular to the long directionof the rope with simple harmonic motion-see Fig. 16.10.2. The motor's maximumdisplacement from equilibrium is 5.00 cm,and it moves with a frequency of 27.0 Hz.In so doing, the motor does work on therope at an average rate if 100 J/s. Themass per unit length of the rope isM =78.0 g/m.

Amplitude = A = 5 cm = 0.05 m frequency = f = 27 Hz average power = 100 J/s

Answered: Motor wwwwwwwww V M

Science

Physics

Motor wwwwwwwww V M

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

100%

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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