L T cos 0 T sin 0 mg mg a b Figure 6.3 (Example 6.1) (a) A conical pendulum. The path of the ball is a horizontal circle. (b) The forces acting on the ball.

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
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 65P
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A small ball of mass m is suspended from a string of length L. The ball revolves with constant speed υ in a horizontal circle of radius r as shown . (Because the string sweeps out the surface of a cone, the system is known as a conical pendulum.) Find an expression for υ in terms of the length of the string and the angle it makes with the vertical as shown.

L
T cos 0
T sin 0
mg
mg
a
b
Figure 6.3 (Example 6.1) (a) A
conical pendulum. The path of the
ball is a horizontal circle. (b) The
forces acting on the ball.
Transcribed Image Text:L T cos 0 T sin 0 mg mg a b Figure 6.3 (Example 6.1) (a) A conical pendulum. The path of the ball is a horizontal circle. (b) The forces acting on the ball.
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