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Question - Find the center of mass of an ice cream cone.
Approximate the ice cream cone as a cone of base radius R and height h, with a hemisphere of radius R sitting on top of it. Assume the ice cream fills the cone, i.e. that the entire object has uniform mass density. Give the height of the center-of-mass above the pointy end of the cone.
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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