Physics for Scientists and Engineers with Modern Physics, Technology Update
Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 15, Problem 40P

Consider the physical pendulum of Figure 15.16. (a) Represent its moment of inertia about an axis passing through its center of mass and parallel to the axis passing through its pivot point as ICM. Show that its period is

T = 2 π I CM + m d 2 m g d

where d is the distance between the pivot point and the center of mass. (b) Show that the period has a minimum value when d satisfies

Figure 15.16 A physical pendulum pivoted at O.

Chapter 15, Problem 40P, Consider the physical pendulum of Figure 15.16. (a) Represent its moment of inertia about an axis

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Chapter 15 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

Ch. 15 - Prob. 5OQCh. 15 - Prob. 6OQCh. 15 - Prob. 7OQCh. 15 - Prob. 8OQCh. 15 - Prob. 9OQCh. 15 - Prob. 10OQCh. 15 - Prob. 11OQCh. 15 - Prob. 12OQCh. 15 - Prob. 13OQCh. 15 - Prob. 14OQCh. 15 - Prob. 15OQCh. 15 - Prob. 16OQCh. 15 - Prob. 17OQCh. 15 - Prob. 1CQCh. 15 - Prob. 2CQCh. 15 - Prob. 3CQCh. 15 - Prob. 4CQCh. 15 - Prob. 5CQCh. 15 - Prob. 6CQCh. 15 - Prob. 7CQCh. 15 - Prob. 8CQCh. 15 - Prob. 9CQCh. 15 - Prob. 10CQCh. 15 - Prob. 11CQCh. 15 - Prob. 12CQCh. 15 - Prob. 13CQCh. 15 - A 0.60-kg block attached to a spring with force...Ch. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - The position of a particle is given by the...Ch. 15 - A piston in a gasoline engine is in simple...Ch. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Prob. 11PCh. 15 - Prob. 12PCh. 15 - Review. A particle moves along the x axis. It is...Ch. 15 - Prob. 14PCh. 15 - A particle moving along the x axis in simple...Ch. 15 - The initial position, velocity, and acceleration...Ch. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - You attach an object to the bottom end of a...Ch. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - A simple harmonic oscillator of amplitude A has a...Ch. 15 - Review. A 65.0-kg bungee jumper steps off a bridge...Ch. 15 - Review. A 0.250-kg block resting on a...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - A seconds pendulum is one that moves through its...Ch. 15 - A simple pendulum makes 120 complete oscillations...Ch. 15 - A particle of mass m slides without friction...Ch. 15 - A physical pendulum in the form of a planar object...Ch. 15 - Prob. 38PCh. 15 - Prob. 39PCh. 15 - Consider the physical pendulum of Figure 15.16....Ch. 15 - Prob. 41PCh. 15 - Prob. 42PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - A watch balance wheel (Fig. P15.25) has a period...Ch. 15 - Prob. 46PCh. 15 - Prob. 47PCh. 15 - Show that the time rate of change of mechanical...Ch. 15 - Show that Equation 15.32 is a solution of Equation...Ch. 15 - Prob. 50PCh. 15 - Prob. 51PCh. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Considering an undamped, forced oscillator (b =...Ch. 15 - Prob. 55PCh. 15 - Prob. 56APCh. 15 - An object of mass m moves in simple harmonic...Ch. 15 - Prob. 58APCh. 15 - Prob. 59APCh. 15 - Prob. 60APCh. 15 - Four people, each with a mass of 72.4 kg, are in a...Ch. 15 - Prob. 62APCh. 15 - Prob. 63APCh. 15 - An object attached to a spring vibrates with...Ch. 15 - Prob. 65APCh. 15 - Prob. 66APCh. 15 - A pendulum of length L and mass M has a spring of...Ch. 15 - A block of mass m is connected to two springs of...Ch. 15 - Prob. 69APCh. 15 - Prob. 70APCh. 15 - Review. A particle of mass 4.00 kg is attached to...Ch. 15 - Prob. 72APCh. 15 - Prob. 73APCh. 15 - Prob. 74APCh. 15 - Prob. 75APCh. 15 - Review. A light balloon filled with helium of...Ch. 15 - Prob. 78APCh. 15 - A particle with a mass of 0.500 kg is attached to...Ch. 15 - Prob. 80APCh. 15 - Review. A lobstermans buoy is a solid wooden...Ch. 15 - Prob. 82APCh. 15 - Prob. 83APCh. 15 - A smaller disk of radius r and mass m is attached...Ch. 15 - Prob. 85CPCh. 15 - Prob. 86CPCh. 15 - Prob. 87CPCh. 15 - Prob. 88CPCh. 15 - A light, cubical container of volume a3 is...
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