Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 10.4CQ
Explain how you might use the apparatus described in Figure OQ10.7 to determine the moment of inertia of the wheel. Note: If the wheel does not have a uniform mass density, the moment of inertia is not necessarily equal to
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Chapter 10 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 10 - A rigid object rotates in a counterclockwise sense...Ch. 10 - Consider again the pairs of angular positions for...Ch. 10 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10 - (i) If you are trying to loosen a stubborn screw...Ch. 10 - You turn off your electric drill and find that the...Ch. 10 - A section of hollow pipe and a solid cylinder have...Ch. 10 - A ball rolls without slipping down incline A,...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - A wheel is rotating about a fixed axis with...
Ch. 10 - A grindstone increases in angular speed from 4.00...Ch. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - As shown in Figure OQ10.7, a cord is wrapped onto...Ch. 10 - A constant net torque is exerted on an object....Ch. 10 - Prob. 10.9OQCh. 10 - A toy airplane hangs from the ceiling at the...Ch. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Is it possible to change the translational kinetic...Ch. 10 - Must an object be rotating to have a nonzero...Ch. 10 - Suppose just two external forces act on a...Ch. 10 - Explain how you might use the apparatus described...Ch. 10 - Example 10.6 Angular Acceleration of a Wheel A...Ch. 10 - Explain why changing the axis of rotation of an...Ch. 10 - Suppose you have two eggs, one hard-boiled and the...Ch. 10 - Suppose you set your textbook sliding across a...Ch. 10 - (a) What is the angular speed of the second hand...Ch. 10 - One blade of a pair of scissors rotates...Ch. 10 - If you see an object rotating, is there...Ch. 10 - If a small sphere of mass M were placed at the end...Ch. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Figure CQ10.15 shows a side view of a childs...Ch. 10 - A person balances a meterstick in a horizontal...Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - A potters wheel moves uniformly from rest to an...Ch. 10 - During a certain time interval, the angular...Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...Ch. 10 - A centrifuge in a medical laboratory rotates at an...Ch. 10 - An electric motor rotating a workshop grinding...Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - A rotating wheel requires 3.00 s to rotate through...Ch. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - A spinning wheel is slowed down by a brake, giving...Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - A racing car travels on a circular track of radius...Ch. 10 - Make an order-of-magnitude estimate of the number...Ch. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Figure P10.18 shows the drive train of a bicycle...Ch. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - A disk 8.00 cm in radius rotates at a constant...Ch. 10 - Prob. 10.22PCh. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - In a manufacturing process, a large, cylindrical...Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - The fishing pole in Figure P10.28 makes an angle...Ch. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - A 150-kg merry-go-round in the shape of a uniform,...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - A model airplane with mass 0.750 kg is tethered to...Ch. 10 - A disk having moment of inertia 100 kg m2 is free...Ch. 10 - The combination of an applied force and a friction...Ch. 10 - Review. Consider the system shown in Figure P10.36...Ch. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - A uniform, thin, solid door has height 2.20 m,...Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Figure P10.41 shows a side view of a car tire...Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Three identical thin rods, each of length L and...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - The four particles in Figure P10.45 are connected...Ch. 10 - Many machines employ cams for various purposes,...Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - A horizontal 800-N merry-go-round is a solid disk...Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - The top in Figure P10.51 has a moment of inertia...Ch. 10 - Why is the following situation impossible? In a...Ch. 10 - In Figure P10.53, the hanging object has a mass of...Ch. 10 - Review. A thin, cylindrical rod = 24.0 cm long...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - The head of a grass string trimmer has 100 g of...Ch. 10 - A cylinder of mass 10.0 kg rolls without slipping...Ch. 10 - A solid sphere is released from height h from the...Ch. 10 - (a) Determine the acceleration of the center of...Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - A uniform solid disk and a uniform hoop are placed...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - A metal can containing condensed mushroom soup has...Ch. 10 - As shown in Figure 10.13 on page 306, toppling...Ch. 10 - Review. A 4.00-m length of light nylon cord is...Ch. 10 - An elevator system in a tall building consists of...Ch. 10 - A shaft is turning at 65.0 rad/s at time t = 0....Ch. 10 - A shaft is turning at angular speed at time t =...Ch. 10 - Review. A mixing beater consists of three thin...Ch. 10 - The hour hand and the minute hand of Big Ben, the...Ch. 10 - A long, uniform rod of length L and mass M is...Ch. 10 - A bicycle is turned upside down while its owner...Ch. 10 - A bicycle is turned upside down while its owner...Ch. 10 - Prob. 10.76APCh. 10 - Review. As shown in Figure P10.77, two blocks are...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - The reel shown in Figure P10.79 has radius R and...Ch. 10 - A common demonstration, illustrated in Figure...Ch. 10 - A uniform solid sphere of radius r is placed on...Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - A thin rod of mass 0.630 kg and length 1.24 m is...Ch. 10 - Prob. 10.85APCh. 10 - Review. A clown balances a small spherical grape...Ch. 10 - A plank with a mass M = 6.00 kg rests on top of...Ch. 10 - As a gasoline engine operates, a flywheel turning...Ch. 10 - As a result of friction, the angular speed of a...Ch. 10 - To find the total angular displacement during the...Ch. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - A cord is wrapped around a pulley that is shaped...Ch. 10 - A merry-go-round is stationary. A clog is running...Ch. 10 - A uniform, hollow, cylindrical spool has inside...
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- A disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A second disk, this one having moment of inertia I2 and initially not rotating, drops onto the first disk (Fig. P10.50). Because of friction between the surfaces, the two eventually reach the same angular speed f. (a) Calculate f. (b) Calculate the ratio of the final to the initial rotational energy. Figure P10.50arrow_forwardA system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. (a) What is the moment of inertia of the system? (b) What is its rotational kinetic energy?arrow_forwardA long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?arrow_forward
- Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The system rotates about the x axis with an angular speed of 2.00 rad/s. Find (a) the moment of inertia about the x axis, (b) the total rotational kinetic energy evaluated from 12I2, (c) the tangential speed of each particle, and (d) the total kinetic energy evaluated from 12mivi2. (e) Compare the answers for kinetic energy in parts (b) and (d). Figure P10.18arrow_forwardFigure OQ10.6 shows a system of four particles joined by light, rigid rods. Assume a = b and M is larger than m. About which of the coordinate axes does the system have (i) the smallest and (ii) the largest moment of inertia? (a) the x axis (b) the y axis (c) the z axis, (d) The moment of inertia is the same small value for two axes, (e) The moment of inertia is the same for all three axes.arrow_forwardFigure OQ10.8 shows a system of four particles joined by light, rigid rods. Assume a = b and M is larger than m. About which of the coordinate axes does the system have (i) the smallest and (ii) the largest moment of inertia? (a) the x axis (b) the y axis (c) the z axis. (d) The moment of inertia has the same small value for two axes. (e) The moment of inertia is the same for all three axes. Figure OQ10.8arrow_forward
- A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through one end. The rod is released from rest in a vertical position as shown in Figure P10.65. At the instant the rod is horizontal, find (a) its angular speed, (b) the magnitude of its angular acceleration, (c) the x and y components of the acceleration of its center of mass, and (d) the components of the reaction force at the pivot. Figure P10.65arrow_forwardThe reel shown in Figure P10.71 has radius R and moment of inertia I. One end of the block of mass m is connected to a spring of force constant k, and the other end is fastened to a cord wrapped around the reel. The reel axle and the incline are frictionless. The reel is wound counterclockwise so that the spring stretches a distance d from its unstretched position and the reel is then released from rest. Find the angular speed of the reel when the spring is again unstretched. Figure P10.71arrow_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_forward
- Review. As shown in Figure P10.77, two blocks are connected by a string of negligible mass passing over a pulley of radius r= 0.250 m and moment of inertia I. The block on the frictionless incline is moving with a constant acceleration of magnitude a = 2.00 m/s2. From this information, we wish to find the moment of inertia of the pulley. (a) What analysis model is appropriate for the blocks? (b) What analysis model is appropriate for the pulley? (c) From the analysis model in part (a), find the tension T1(d) Similarly, find the tension T2. (e) From the analysis model in part (b), find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T1 and T2. the pulley radius r, and the acceleration a. (f) Find the numerical value of the moment of inertia of the pulley.arrow_forwardThe system shown in Figure P13.18 consisting of four particles connected by massless, rigid rods is rotating around the x axis with an angular speed of 2.50 rad/s. The particle masses are m1 = 1.00 kg, m2 = 4.00 kg, m3 = 2.00 kg, and m4 = 3.00 kg. a. What is the rotational inertia of the system around the x axis? b. Using Kr=12I2 (Eq. 13.10), what is the total rotational kinetic energy of the system? c. What is the tangential speed of each of the four particles? d. Considering the system as four particles in motion and using K=i12mvi2, what is the total kinetic energy of the system? How does this value compare with the result obtained in part (b)? FIGURE P13.18arrow_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