College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 10, Problem 5CQ
(a) Can you change the location of your body’s center of mass? How? (b) Can you change your body’s moment of inertia? How?
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Problem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass.
Part (a) First calculate the moment of inertia (in kg m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11
m.
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cosh()
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Part (b) Now calculate the moment of inertia of the skater (in kg m?) with their arms extended by assuming that each arm is 5% of the mass of
their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated
at the ends.
A binary star system consists of two stars (one star with a mass of 4.0 x 10^36 kg and the second star having a mass of 3.1 x 10^34 kg) that are separated by a distance of 3 x 10^12 m.
a) Determine the center of mass of the binary star system relative to the position of each star.
b) Find the moment of inertia of the binary star system rotating around its center of mass.
As a physics demonstration, a special bowling ball is made so that it can be rotated about its center of mass to get a feel for how "big" a moment of inertia of 1 kg⋅m2 is. The average bowling ball has a weight of 15.4 lbs and a circumference of 26.3 inbut it does not have a moment of inertia equal to 1 kg⋅m2.Since the sporting goods manufacturer has no understanding of how "big" 1 kg⋅m21 is, calculate the diameter ? demo of the demo bowling ball, in inches, that it will need to manufacture. Assume that bowling balls are solid, with a constant density.
D of demo required in inches.
Chapter 10 Solutions
College Physics (10th Edition)
Ch. 10 - When tightening a bolt, mechanics sometimes extend...Ch. 10 - Prob. 2CQCh. 10 - Two identical uniform 30 cm bricks are placed one...Ch. 10 - (a) If the forces on an object balance, do the...Ch. 10 - (a) Can you change the location of your bodys...Ch. 10 - Serious bicyclists say that if you reduce the...Ch. 10 - Prob. 7CQCh. 10 - In terms of torques, discuss the action of a claw...Ch. 10 - Why is a tapered water glass with a narrow base...Ch. 10 - True or false? In picking an axis about which to...
Ch. 10 - Global warming. As the earths climate continues to...Ch. 10 - If two spinning objects have the same angular...Ch. 10 - You are designing a wheel that must have a fixed...Ch. 10 - Prob. 2MCPCh. 10 - A student is sitting on a frictionless rotating...Ch. 10 - If the torques on an object balance, then it...Ch. 10 - If the forces on an object balance, then it...Ch. 10 - Prob. 6MCPCh. 10 - A person pushes vertically downward with force P...Ch. 10 - String is wrapped around the outer rim of a solid...Ch. 10 - A ball of mass 0.20 kg is whirled in a horizontal...Ch. 10 - A heavy solid disk rotating freely and slowed only...Ch. 10 - A uniform metal meterstick is balanced as shown in...Ch. 10 - Prob. 1PCh. 10 - Calculate the net torque about point O for the two...Ch. 10 - Three forces are applied to a wheel of radius...Ch. 10 - A 4 N and a 10 N force act on an object. The...Ch. 10 - A square metal plate 0.180 m on each side is...Ch. 10 - A cord is wrapped around the rim of a wheel 0.250...Ch. 10 - A certain type of propeller blade can be modeled...Ch. 10 - A 750 g grinding wheel 25.0 cm in diameter is in...Ch. 10 - A grindstone in the shape of a solid disk with...Ch. 10 - A solid, uniform cylinder with mass 8.00 kg and...Ch. 10 - A 2.00 kg stone is tied to a thin, light wire...Ch. 10 - A light rope is wrapped several times around a...Ch. 10 - A thin, light string is wrapped around the rim of...Ch. 10 - 14. A uniform, 8.40-kg, spherical shell 50.0 cm in...Ch. 10 - A hollow spherical shell with mass 2.00 kg rolls...Ch. 10 - A solid disk of radius 8.50 cm and mass 1.25 kg,...Ch. 10 - What is the power output in horsepower of an...Ch. 10 - A solid uniform sphere of mass 5 kg and radius 0.1...Ch. 10 - A playground merry-go-round has a radius of 4.40 m...Ch. 10 - The flywheel of a motor has a mass of 300.0 kg and...Ch. 10 - Calculate the angular momentum and kinetic energy...Ch. 10 - (a) Calculate the magnitude of the angular...Ch. 10 - A small 0.300 kg bird is flying horizontally at...Ch. 10 - A. small 4.0 kg brick is released from rest 2.5 m...Ch. 10 - The London Eye is the tallest Ferris wheel in...Ch. 10 - A certain drawbridge can be modeled as a uniform...Ch. 10 - On an old-fashioned rotating piano stool, a woman...Ch. 10 - The spinning figure skater. The outstretched hands...Ch. 10 - A small block on a frictionless horizontal surface...Ch. 10 - A uniform 2 kg solid disk of radius R 0.4 m is...Ch. 10 - A diver comes off a board with arms straight up...Ch. 10 - A large turntable rotates about a fixed vertical...Ch. 10 - A large wooden turntable in the shape of a flat...Ch. 10 - Which of the objects shown in Figure 10.55 are in...Ch. 10 - (a) In each of the objects in Figure 10.56, what...Ch. 10 - Prob. 36PCh. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Prob. 40PCh. 10 - The horizontal beam in Figure 10.60 weighs 150 N,...Ch. 10 - The boom in Figure 10.61 weighs 2600 N and is...Ch. 10 - A uniform ladder 7.0 m long weighing 450 N rests...Ch. 10 - A 9.0 m uniform beam is hinged to a vertical wall...Ch. 10 - A uniform beam 4.0 m long and weighing 2500 N...Ch. 10 - A diving board 3.00 m long is supported at a point...Ch. 10 - Two people carry a heavy electric motor by placing...Ch. 10 - Pumping iron. A 72.0 kg weightlifter is doing arm...Ch. 10 - The deltoid muscle. The deltoid muscle is the main...Ch. 10 - The rotor (flywheel) of a toy gyroscope has a mass...Ch. 10 - For each of the following rotating objects,...Ch. 10 - Prob. 52GPCh. 10 - A good workout. You are doing exercises on a...Ch. 10 - Prior to being placed in its hole, a 5700 N,...Ch. 10 - Prob. 55GPCh. 10 - One end of a 1.2-m-long beam is hinged to a...Ch. 10 - The farmyard gate. A gate 4.00 m wide and 2.00 m...Ch. 10 - 58. Atwoods machine. Figure 10.72 illustrates an...Ch. 10 - Prob. 59GPCh. 10 - The forces on the foot. A 750 N athlete standing...Ch. 10 - A uniform solid cylinder of mass M is supported on...Ch. 10 - Prob. 62GPCh. 10 - You are trying to raise a bicycle wheel of mass m...Ch. 10 - An experimental bicycle wheel is placed on a test...Ch. 10 - Prob. 65GPCh. 10 - Disks A and B are mounted on shaft SS and may be...Ch. 10 - One end of a thin, uniform rod is connected to a...Ch. 10 - A uniform, 7.5-m-long beam weighing 9000 N is...Ch. 10 - Human moment of inertia. The moment of inertia of...Ch. 10 - While the turntable is being accelerated, the...Ch. 10 - A doubling of the torque produces a greater...Ch. 10 - If the bodys center of mass were not placed on the...Ch. 10 - Torques and tug-of-war. In a study of the...Ch. 10 - If the competitor leans slightly farther back...Ch. 10 - Torques and tug-of-war. In a study of the...
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- Section 11.5 The Motion of Gyroscopes and Tops A spacecraft is in empty space. It carries on board gyroscope with a moment of inertia of Ig = 20.0 kgm2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 X 105 kgm2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 100 rad/s. If the orientation of the spacecraft is to be changed by 30.0, for what time interval should the gyroscope be operated?arrow_forwardA student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56). When his arms are extended horizontally (Fig. P10.56a), the dumbbells are 1.00 m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis (Fig. P10.56b). (a) Find the new angular speed of the student. (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Figure P10.56arrow_forwardCalculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater is approximated as a cylinder that has a 0.110-m radius. b) The skater with arms extended is approximated by a cylinder that is 52.5 kg, has a 0.110-m radius, and has two 0.900-m-long arms which are 3.75 kg each and extend straight out from the cylinder like rods rotated about their ends.arrow_forward
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Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License