A ball of mass m is tied to one end of a string of length L, the other end of which is fixed to the ceiling. The ball is then set in motion at a constant speed in a horizontal circle of radius R less than L around the axis that the string would make if the ball were to hang at rest (the string thus makes a constant angle theta with the vertical direction). Determine how long it takes the ball to go around the circle once in terms of m, vector g, L, and theta (Comment: an object moving as described is called a conical pendulum.)

A ball of mass m is tied to one end of a string of length L, the other end of which is fixed to the ceiling. The ball is then set in motion at a constant speed in a horizontal circle of radius R less than L around the axis that the string would make if the ball were to hang at rest (the string thus makes a constant angle theta with the vertical direction). Determine how long it takes the ball to go around the circle once in terms of m, vector g, L, and theta (Comment: an object moving as described is called a conical pendulum.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 58P: Why is the following situation impossible? A book sits on an inclined plane on the surface of the...

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