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A cylindrical shell of length L, radius R, and mass M is uniformly charged on its surface with total charge Q, and is rotating with an angular speed of w about its axis oriented along the z-axis.

a. True
b. False

1 Answer

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Final answer:

The answer to this question is b. False. A uniformly charged cylindrical shell cannot rotate with a constant angular speed.

Step-by-step explanation:

The answer to this question is b. False. A cylindrical shell that is uniformly charged on its surface will not rotate about its axis with an angular speed. The presence of charge on the shell would create an electric field in the vicinity of the shell, causing a force on the charges within the shell, resulting in a change in the angular velocity. Therefore, a uniformly charged cylindrical shell cannot rotate with a constant angular speed. These topics are typically introduced in higher-level secondary education physics courses, making this a High School level set of problems.

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