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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11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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