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Three point masses are arranged as shown in the diagram above. Suppose mA = 350kg, mB = 150kg, and mC = 150kg and that all distance values are in meters.
1. Calculate the center of mass of the point mass arrangement by using C as the origin and the line CB as the positive x-axis.
2. Calculate the initial angular acceleration of the configuration if it is allowed to rotate about an axis perpendicular to the page passing through C.
3. Let the initial position be the same as described above. Explain how the angular acceleration would differ if the mass configuration were to pivot about an axis through A rather than C.
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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