EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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(b) On an old-fashioned rotating piano stool, a woman sits holding a pair
of dumbbells at a distance of 0.60 m from the axis of rotation of the
stool. She is given an angular velocity of 3.00 rad/s, after which she
pulls the dumbbells in until they are only 0.20 m distant from the
axis. The woman's moment of inertia about the axis of rotation is
5.00 kg-m² and may be considered constant. Each dumbbell has a
mass of 5.00 kg and may be considered a point mass. Ignore friction.
(a) What is the initial angular momentum of the system? (b) What
is the angular velocity of the system after the dumbbells are pulled in
toward the axis? (c) Compute the kinetic energy of the system before
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Two particles, each with mass m, are fastened to each other and to a rotation axis by two rods, each with length L and mass M, as shown in fig 9-44. The combination rotates around the rotation axis with angular velocity w.
What is the moment of inertia of the combination about the axis at point O?
(II) A ball of mass M and radius r on the end of a thin
massless rod is rotated in a horizontal circle of radius Ro
about an axis of rotation AB, as shown in Fig. 10-58.
(a) Considering the mass of the ball to be concentrated at
its center of mass, calculate its moment of inertia about AB.
(b) Using the parallel-axis theorem and considering the
finite radius of the ball, calculate the moment of inertia of
the ball about AB. (c) Calculate the percentage error intro-
duced by the point mass approximation for r
1.0 m. s
9.0 cm and
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Problem 89.
► M
10-65
FIGURE 10-58
molecule. The
H bonds
incrtia
Problem 58.
A
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Chapter 10 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
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. 1QCh. 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. 5QCh. 10 - Prob. 6QCh. 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. 11QCh. 10 - Prob. 12QCh. 10 - Prob. 13QCh. 10 - Prob. 14QCh. 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. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 14MCQCh. 10 - (I) Express the following angles in radians: (a)...Ch. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - (I) The blades in a blender rotate at a rate of...Ch. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - (II) A rotating merry-go-round makes one complete...Ch. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - (II) Calculate the angular velocity of the Earth...Ch. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - (II) A turntable of radius R1 is turned by a...Ch. 10 - Prob. 18PCh. 10 - (I) A centrifuge accelerates uniformly front rest...Ch. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Prob. 26PCh. 10 - Prob. 27PCh. 10 - (II) Two blocks, each of mass m, are attached to...Ch. 10 - Prob. 29PCh. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - (I) Estimate the moment of inertia of a bicycle...Ch. 10 - Prob. 35PCh. 10 - (II) An oxygen molecule consists of two oxygen...Ch. 10 - Prob. 37PCh. 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. 40PCh. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - (II) A dad pushes tangentially on a small...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - (II) When discussing moments of inertia,...Ch. 10 - (II) Two blocks are connected by a light string...Ch. 10 - Prob. 51PCh. 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. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Prob. 61PCh. 10 - Prob. 62PCh. 10 - (I) Estimate the kinetic energy of the Earth with...Ch. 10 - (II) A rotating uniform cylindrical platform of...Ch. 10 - Prob. 65PCh. 10 - (II) A Uniform thin rod of length l and mass M is...Ch. 10 - Prob. 67PCh. 10 - (III) A 2.30-m-long pole is balanced vertically on...Ch. 10 - Prob. 69PCh. 10 - (I) A bowling ball of mass 7.3kg and radius 9.0 cm...Ch. 10 - Prob. 71PCh. 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. 74PCh. 10 - Prob. 75PCh. 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. 81GPCh. 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. 84GPCh. 10 - Prob. 85GPCh. 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. 88GPCh. 10 - Figure 1065 illustrates an H2O molecule. The O H...Ch. 10 - Prob. 90GPCh. 10 - Prob. 91GPCh. 10 - Prob. 92GPCh. 10 - Prob. 93GPCh. 10 - Prob. 94GPCh. 10 - Prob. 96GPCh. 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. 100GPCh. 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. 103GPCh. 10 - Prob. 104GPCh. 10 - Prob. 105GPCh. 10 - A thin uniform stick of mass M and length l is...Ch. 10 - Prob. 107GP
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Similar questions
- Check Your Understanding What is the moment of inertia of a cylinder of radius R and mass m about an axis through a point on the surface, as shown below? A uniform thin disk about an axis through the center Integrating to find the moment of inertia of a two-dimensional object is a little bit trickier, but one shape is commonly done at this level of study—a uniform thin disk about an axis through its center (Figure 10.27). Figure 10.27 Calculating the moment of inertia for a thin disk about an axis through its center.arrow_forwardDoes increasing the number of blades on a propeller increase or decrease its moment of inertia, and why?arrow_forwardThe precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?arrow_forward
- A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?arrow_forwardWhat if another planet the same size as Earth were put into orbit around the Sun along with Earth. Would the moment of inertia of the system increase, decrease, or stay the same?arrow_forwardCan you assign an angular momentum to a particle without first defining a reference point?arrow_forward
- A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its center, and initially at rest, isacted upon by two tangential forces of equalmagnitude F, acting on opposite sides of itsrim until a point on the rim experiences acentripetal acceleration of 4.00 m/s2 (Fig.P13.73). a. What is the angular momentumof the disk at this time? b. If F = 2.00 N, howlong do the forces have to be applied to thedisk to achieve this centripetal acceleration? FIGURE P13.73arrow_forwardCheck Your Understanding Which has greater angular momentum: a solid sphere of mass m rotating at a constant angular frequency 0 about the z-axis, or a solid cylinder of same mass and rotation rate about the z-axis?arrow_forwardIf you know the velocity of a particle, can you say anything about the particle’s angular momentum?arrow_forward
- Figure 13.24 shows a particle with momentum p. Using the coordinate systems shown, determine the direction of the angular momentum of the particle around the origin in each case, and write expressions for L, using symbols defined in Figure 13.23. FIGURE 13.24arrow_forwardIf a particle is moving with respect to a chosen origin it has linear momentum. What conditions must exist for this particle’s angular momentum to be zero about the chosen origin?arrow_forwardA thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.arrow_forward
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