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A ball is attached to a horizontal cord of length L whose other end is fixed. A peg is located at a distance d directly below the fixed end of the cord. The ball is released from rest when the string is horizontal. ? a. If d = 0.75L, find the speed of the ball when it reaches the top of the circular path about the peg. b. Will the ball be able to make a complete circle about the peg if d = 0.5L? (Hint: what speed does the ball need to have at the top of its arc if it is to continue to move in a circle?) What is the minimum distance d such that the ball will be able to make a complete circle around the peg after the string catches on the peg?
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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