CALC A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y ( x , t ) = (5.60 cm) sin [(0.0340 rad/cm) x ] sin [(50.0 rad/s) t ], where the origin is at the left end of the string, the x -axis is along the string, and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing-wave pattern. (b) Find the amplitude of the two traveling waves that make up this standing wave. (c) What is the length of the string? (d) Find the wavelength, frequency, period, and speed of the traveling waves. (e) Find the maximum transverse speed of a point on the siring. (f) What would be the equation y( x , t ) for this string if it were vibrating in its eighth harmonic?
CALC A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y ( x , t ) = (5.60 cm) sin [(0.0340 rad/cm) x ] sin [(50.0 rad/s) t ], where the origin is at the left end of the string, the x -axis is along the string, and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing-wave pattern. (b) Find the amplitude of the two traveling waves that make up this standing wave. (c) What is the length of the string? (d) Find the wavelength, frequency, period, and speed of the traveling waves. (e) Find the maximum transverse speed of a point on the siring. (f) What would be the equation y( x , t ) for this string if it were vibrating in its eighth harmonic?
CALC A thin, taut string tied at both ends and oscillating in its third harmonic has its shape described by the equation y(x, t) = (5.60 cm) sin [(0.0340 rad/cm)x] sin [(50.0 rad/s)t], where the origin is at the left end of the string, the x-axis is along the string, and the y-axis is perpendicular to the string. (a) Draw a sketch that shows the standing-wave pattern. (b) Find the amplitude of the two traveling waves that make up this standing wave. (c) What is the length of the string? (d) Find the wavelength, frequency, period, and speed of the traveling waves. (e) Find the maximum transverse speed of a point on the siring. (f) What would be the equation y(x, t) for this string if it were vibrating in its eighth harmonic?
Certain types of particle detectors can be used to reconstruct the tracks left by unstable, fast-moving sub-atomic particles. Assume
that a track with a length of L=2.97 mm in the laboratory frame of reference has been observed. Further assume that you
determined from other detector data that the particle moved at a speed of L=0.910 ⚫ c, also in the laboratory frame of reference. c
denotes the speed of light in vacuum. What proper lifetime would you determine for this particle from the data given?
T= 4.0
S
generated worksheet
While cruising down University Boulevard you are stopped by a cop who states that you ran a red traffic light. Because you don't
want to pay the stiff fine, you are attempting a physics defense. You claim that due to the relativistic Doppler effect, the red color of
the light λ=616 nm appeared green '=531 nm to you. The cop makes a quick calculation of his own and rejects your defense.
How fast, in terms of your speed u divided by the speed of light in vacuum c, would you have to drive to justify your claim? Note
that the speed u is taken to be a positive quantity.
U 4.0
C
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.