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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
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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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.
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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