35P.) Figure 8-42 shows a pendulum of length L. Its bob (which effectively has all the mass) has speed vo when the cord makes an angle 8, with the vertical. (a) Derive an expression for the speed of the bob when it is in its lowest position. What is the least value that v, can have if the pendulum is to swing down and then up (b) to a horizontal position, and (c) to a vertical position with the cord remaining straight?
35P.) Figure 8-42 shows a pendulum of length L. Its bob (which effectively has all the mass) has speed vo when the cord makes an angle 8, with the vertical. (a) Derive an expression for the speed of the bob when it is in its lowest position. What is the least value that v, can have if the pendulum is to swing down and then up (b) to a horizontal position, and (c) to a vertical position with the cord remaining straight?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:35P.) Figure 8-42 shows a pendulum of length L. Its bob (which
effectively has all the mass) has speed v, when the cord makes an
angle 6, with the vertical. (a) Derive an expression for the speed
of the bob when it is in its lowest position. What is the least value
that v, can have if the pendulum is to swing down and then up (b)
to a horizontal position, und (c) to a vertical position with the cord
remaining straight?
L
FIGURE 8-42 Problem 35.
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