Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = 0. The string is 70.0 cm long. At time t= 0, the first antinode is at maximum positive displacement. a. Is the right end of the string fixed or free? Explain. b. Sketch the standing wave at time t = 0, t = T/4, and t= T/2. c. What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? d. Write an equation for the standing wave as a function of position and time. e. Write equations for the traveling waves that form this standing wave as functions of position and time.
Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and period 0.100 s. The string lies along the +x-axis and its left end is fixed at x = 0. The string is 70.0 cm long. At time t= 0, the first antinode is at maximum positive displacement. a. Is the right end of the string fixed or free? Explain. b. Sketch the standing wave at time t = 0, t = T/4, and t= T/2. c. What are the wavelength, amplitude, and speed of the two traveling waves that form this pattern? d. Write an equation for the standing wave as a function of position and time. e. Write equations for the traveling waves that form this standing wave as functions of position and time.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Need help with parts C and D plssss
Transcribed Image Text:3. Adjacent antinodes of a standing wave of a string are 20.0 cm apart. A particle at
an antinode oscillates in simple harmonic motion with amplitude 0.600 cm and
period 0.100 s. The string lies along the +x-axis and its left end is fixed at x =
The string is 70.0 cm long. At time t= 0, the first antinode is at maximum
positive displacement.
= 0.
a. Is the right end of the string fixed or free? Explain.
b. Sketch the standing wave at time t= 0, t = T/4, and t = T/2.
What are the wavelength, amplitude, and speed of the two traveling waves
that form this pattern?
d. Write an equation for the standing wave as a function of position and time.
e. Write equations for the traveling waves that form this standing wave as
functions of position and time.
с.
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