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Q. Three point masses each of mass m are connected by two thin rods each of mass M and length L. The central mass is at an origin and the z-axis is directed out of the page. a) Compute the center of mass vector r_com. b) Compute the moment of inertia about the z-axis. c)Use the parallel axis theorem and the results above to compute the moment of inertia about an axis that runs through the center of mass and parallel to the z-axis.
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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