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A transverse wave traveling on a string is represented by y(x) = 0.48*cos(5.6x+84t). y(x) is measured in cm above or below equilibrium, x is measured in meters, and t is measured in seconds. Please determine each of the following properties of this wave, labeling each value with correct units:
a) the wavelength
b) the frequency
c) the velocity that the wave peaks travel down the string. Please state the direction they are traveling.
d) the amplitude of the transverse vibrations
e) the maximum and minimum speeds of the individual particles along the string (in the up-down direction).
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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