Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)

5th Edition

ISBN: 9780137488179

Author: Douglas Giancoli

Publisher: PEARSON+

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Chapter 10, Problem 49P

(II) When discussing moments of inertia, especially for unusual or irregularly shaped objects, it is sometimes convenient to work with the radius of gyration, k. This radius is defined so that if all the mass of the object were concentrated at this distance from the axis, the moment of inertia would be the same as that of the original object. Thus, the moment of inertia of any object can be written in terms of its mass M and the radius of gyration as I = Mk². Determine the radius of gyration for each of the objects (hoop, cylinder, sphere, etc.) shown in Fig. 10–20.

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Chapter 10, Problem 48P

Chapter 10, Problem 50P

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Chapter 10 Solutions

Pearson eText -- Physics for Scientists and Engineers with Modern Physics -- Instant Access (Pearson+)

Ch. 10.1 - In Example 103, we found that the carousel, after...Ch. 10.4 - Two forces (FB = 20 N and FA = 30 N) are applied...Ch. 10.7 - In Figs. 1020f and g, the moments of inertia for a...Ch. 10.8 - Estimate the energy stored in the rotational...Ch. 10.9 - Return to the Chapter-Opening Question, p. 248,...Ch. 10.9 - Find the acceleration a of a yo-yo whose spindle...Ch. 10 - Prob. 1Q Ch. 10 - Suppose a disk rotates at constant angular...Ch. 10 - Could a nonrigid object be described by a single...Ch. 10 - Prob. 4Q

Ch. 10 - Prob. 5Q Ch. 10 - Prob. 6Q Ch. 10 - Can a small force ever exert a greater torque than...Ch. 10 - Why is it more difficult to do a sit-up with your...Ch. 10 - If the net force on a system is zero, is the net...Ch. 10 - Mammals that depend on being able to run fast have...Ch. 10 - Prob. 11Q Ch. 10 - Prob. 12Q Ch. 10 - Prob. 13Q Ch. 10 - Prob. 14Q Ch. 10 - Two inclines have the same height but make...Ch. 10 - Two spheres look identical and have the same mass....Ch. 10 - A sphere and a cylinder have the same radius and...Ch. 10 - Two solid spheres simultaneously start rolling...Ch. 10 - Prob. 1MCQ Ch. 10 - Prob. 2MCQ Ch. 10 - Prob. 3MCQ Ch. 10 - Prob. 4MCQ Ch. 10 - Prob. 6MCQ Ch. 10 - Prob. 7MCQ Ch. 10 - Prob. 8MCQ Ch. 10 - Prob. 9MCQ Ch. 10 - Prob. 10MCQ Ch. 10 - Prob. 11MCQ Ch. 10 - Prob. 12MCQ Ch. 10 - Prob. 14MCQ Ch. 10 - (I) Express the following angles in radians: (a)...Ch. 10 - Prob. 2P Ch. 10 - Prob. 3P Ch. 10 - (I) The blades in a blender rotate at a rate of...Ch. 10 - Prob. 5P Ch. 10 - Prob. 6P Ch. 10 - Prob. 7P Ch. 10 - Prob. 8P Ch. 10 - Prob. 9P Ch. 10 - (II) A rotating merry-go-round makes one complete...Ch. 10 - Prob. 11P Ch. 10 - Prob. 12P Ch. 10 - (II) Calculate the angular velocity of the Earth...Ch. 10 - Prob. 14P Ch. 10 - Prob. 15P Ch. 10 - Prob. 16P Ch. 10 - (II) A turntable of radius R1 is turned by a...Ch. 10 - Prob. 18P Ch. 10 - (I) A centrifuge accelerates uniformly front rest...Ch. 10 - Prob. 20P Ch. 10 - Prob. 21P Ch. 10 - Prob. 22P Ch. 10 - Prob. 23P Ch. 10 - Prob. 24P Ch. 10 - Prob. 25P Ch. 10 - Prob. 26P Ch. 10 - Prob. 27P Ch. 10 - (II) Two blocks, each of mass m, are attached to...Ch. 10 - Prob. 29P Ch. 10 - Prob. 30P Ch. 10 - Prob. 31P Ch. 10 - Prob. 32P Ch. 10 - Prob. 33P Ch. 10 - (I) Estimate the moment of inertia of a bicycle...Ch. 10 - Prob. 35P Ch. 10 - (II) An oxygen molecule consists of two oxygen...Ch. 10 - Prob. 37P Ch. 10 - (II) The forearm in Fig. 1052 accelerates a 3.6-kg...Ch. 10 - (II) Assume that a 1.00-kg ball is thrown solely...Ch. 10 - Prob. 40P Ch. 10 - Prob. 41P Ch. 10 - Prob. 42P Ch. 10 - Prob. 43P Ch. 10 - (II) A dad pushes tangentially on a small...Ch. 10 - Prob. 45P Ch. 10 - Prob. 46P Ch. 10 - Prob. 47P Ch. 10 - Prob. 48P Ch. 10 - (II) When discussing moments of inertia,...Ch. 10 - (II) Two blocks are connected by a light string...Ch. 10 - Prob. 51P Ch. 10 - (III) A hammer thrower accelerates the hammer...Ch. 10 - (I) Use the parallel-axis theorem to show that the...Ch. 10 - (II) Determine the moment of inertia of a 19-kg...Ch. 10 - Prob. 55P Ch. 10 - Prob. 56P Ch. 10 - Prob. 57P Ch. 10 - Prob. 58P Ch. 10 - Prob. 61P Ch. 10 - Prob. 62P Ch. 10 - (I) Estimate the kinetic energy of the Earth with...Ch. 10 - (II) A rotating uniform cylindrical platform of...Ch. 10 - Prob. 65P Ch. 10 - (II) A Uniform thin rod of length l and mass M is...Ch. 10 - Prob. 67P Ch. 10 - (III) A 2.30-m-long pole is balanced vertically on...Ch. 10 - Prob. 69P Ch. 10 - (I) A bowling ball of mass 7.3kg and radius 9.0 cm...Ch. 10 - Prob. 71P Ch. 10 - (II) A narrow but solid spool of thread has radius...Ch. 10 - (II) A solid rubber ball rests on the floor of a...Ch. 10 - Prob. 74P Ch. 10 - Prob. 75P Ch. 10 - (II) A ball of radius r0 rolls on the inside of a...Ch. 10 - (III) A small sphere of radius r0 = 1.5 cm rolls...Ch. 10 - (III) A wheel with rotational inertia I=12MR2...Ch. 10 - (III) The 1100-kg mass of a car includes four...Ch. 10 - (I) A rolling hall slows down because the normal...Ch. 10 - Prob. 81GP Ch. 10 - On a 12.0-cm-diameter audio compact disc (CD),...Ch. 10 - (a) A yo-yo is made of two solid cylindrical...Ch. 10 - Prob. 84GP Ch. 10 - Prob. 85GP Ch. 10 - A large spool of rope rolls on the ground with the...Ch. 10 - Bicycle gears: (a) How is the angular velocity R...Ch. 10 - Prob. 88GP Ch. 10 - Figure 1065 illustrates an H2O molecule. The O H...Ch. 10 - Prob. 90GP Ch. 10 - Prob. 91GP Ch. 10 - Prob. 92GP Ch. 10 - Prob. 93GP Ch. 10 - Prob. 94GP Ch. 10 - Prob. 96GP Ch. 10 - A marble of mass m and radius r rolls along the...Ch. 10 - The density (mass per unit length) of a thin rod...Ch. 10 - If a billiard ball is hit in just the right way by...Ch. 10 - Prob. 100GP Ch. 10 - When bicycle and motorcycle riders pop a wheelie,...Ch. 10 - A crucial part of a piece of machinery starts as a...Ch. 10 - Prob. 103GP Ch. 10 - Prob. 104GP Ch. 10 - Prob. 105GP Ch. 10 - A thin uniform stick of mass M and length l is...Ch. 10 - Prob. 107GP

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