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A solid cylinder of mass 148.7 kg and diameter 0.72m has mounted to rotate around its axis, with the axis parallel to the surface of the Earth. A very light rope is attached to the outside fo the cylidner, an spherical mass of 1.6 kg was attached to the end of the rope. A time t=0, the cylinder has an initial angular velocity of wi, and the mass is 26m below the cylinder but it's being lifted by the cylinder taking up the rope. When the mass is 2m below the cylinder, it stops (because of the infuence of gravity on the spherical mass), and then starts descending again. Calculate wi.
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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