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You are investigating an avalanche scene where a boulder of massM and radius R rolled down a slope of angle theta from a height of h before rolling off a cliff some height H above the valley floor. (Thereis a very small frictionless horizontal ledge at the bottom of the slope,as shown, so that it leaves the cliff initially in the horizontal direction).
Your measure a coefficient of rolling friction u_r for the boulder.
Find an expression for the distance D that it lands from the base of the cliff.
You may assume that the boulder started from rest and that it rolls without slipping.
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.
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