Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 10, Problem 40P
(II) Calculate the moment of inertia of the array of point objects shown in Fig. 10–53 about (a) the vertical axis, and (b) the horizontal axis. Assume m = 2.2 kg, M = 3.1 kg, and the objects are wired together by very light, rigid pieces of wire. The array is rectangular and is split through the middle by the horizontal axis, (c) About which axis would it be harder to accelerate this array?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(II) An oxygen molecule consists of two oxygen atoms whose
total mass is 5.3 × 10-26 kg and whose moment of inertia
about an axis perpendicular to the line joining the two atoms,
midway between them, is 1.9 x 10-46 kg - m². From these
data, estimate the effective distance between the atoms.
(I) Determine the moment of inertia of a 10.8-kg sphere ofradius 0.648 m when the axis of rotation is through its center
(II) Let us treat a helicopter rotor blade as a long thin
rod, as shown in Fig. 8–49. (a) If each of the three rotor
helicopter blades is 3.75 m long and has a mass of 135 kg,
calculate the moment of inertia of the three rotor blades
about the axis of rotation. (b) How much torque must the
motor apply to bring the blades from rest up to a speed
of 6.0 rev/s in 8.0 s?
Rotor
FIGURE 8-49
3.75 m-
m = 135 kg
Problem 43.
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics
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 - A bicycle odometer (which counts revolutions and...Ch. 10 - Suppose a disk rotates at constant angular...Ch. 10 - Could a nonrigid object be described by a single...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 - Mammals that depend on being able to run fast have...Ch. 10 - If the net force on a system is zero, is the net...Ch. 10 - Two inclines have the same height but make...Ch. 10 - Two spheres look identical and have the same mass....Ch. 10 - Two solid spheres simultaneously start rolling...Ch. 10 - Why do tightrope walkers (Fig. 1043) carry a long,...Ch. 10 - A sphere and a cylinder have the same radius and...Ch. 10 - The moment of inertia of this textbook would be...Ch. 10 - The moment of inertia of a rotating solid disk...Ch. 10 - Prob. 15QCh. 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 - (II) (a) A grinding wheel 0.35 m in diameter...Ch. 10 - (II) A bicycle with tires 68 cm in diameter...Ch. 10 - (II) Calculate the angular velocity of (a) the...Ch. 10 - (II) A rotating merry-go-round makes one complete...Ch. 10 - (II) What is the linear speed of a point (a) on...Ch. 10 - (II) Calculate the angular velocity of the Earth...Ch. 10 - Prob. 11PCh. 10 - (II) A 64-cm-diameter wheel accelerates uniformly...Ch. 10 - (II) In traveling to the Moon, astronauts aboard...Ch. 10 - (II) A turntable of radius R1 is turned by a...Ch. 10 - (II) The axle of a wheel is mounted on supports...Ch. 10 - (I) An automobile engine slows down from 3500 rpm...Ch. 10 - (I) A centrifuge accelerates uniformly front rest...Ch. 10 - (I) Pilots can be tested for the stresses of...Ch. 10 - (II) A cooling fan is turned off when it is...Ch. 10 - (II) Using calculus, derive the angular kinematic...Ch. 10 - (II) A small rubber wheel is used to drive a large...Ch. 10 - (II) The angle through which a rotating wheel has...Ch. 10 - (II) The angular acceleration of a wheel, as a...Ch. 10 - (I) A 62-kg person riding a bike puts all her...Ch. 10 - (I) Calculate the net torque about the axle of the...Ch. 10 - (II) A person exerts a horizontal force of 32 N on...Ch. 10 - (II) Two blocks, each of mass m, are attached to...Ch. 10 - (II) A wheel of diameter 27.0 cm is constrained to...Ch. 10 - (II) The bolts on the cylinder head of an engine...Ch. 10 - (II) Determine the net torque on the 2.0-m-long...Ch. 10 - (I) Determine the moment of inertia of a 10.8-kg...Ch. 10 - (I) Estimate the moment of inertia of a bicycle...Ch. 10 - (II) A potter is shaping a bowl on a potters wheel...Ch. 10 - (II) An oxygen molecule consists of two oxygen...Ch. 10 - (II) A softball player swings a bat, accelerating...Ch. 10 - (II) A grinding wheel is a uniform cylinder with a...Ch. 10 - (II) A small 650-g ball on the end of a thin,...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 - (II) Calculate the moment of inertia of the array...Ch. 10 - (II) A merry-go-round accelerates from rest to...Ch. 10 - (II) A 0.72-m-diameter solid sphere can be rotated...Ch. 10 - (II) Suppose the force FT in the cord hanging from...Ch. 10 - (II) A dad pushes tangentially on a small...Ch. 10 - Prob. 45PCh. 10 - (II) Two blocks are connected by a light string...Ch. 10 - (II) A helicopter rotor blade can be considered a...Ch. 10 - (II) A centrifuge rotor rotating at 10,300 rpm is...Ch. 10 - (II) When discussing moments of inertia,...Ch. 10 - Prob. 50PCh. 10 - (III) An Atwoods machine consists of two masses,...Ch. 10 - (III) A string passing over a pulley has a 3.80-kg...Ch. 10 - (III) A hammer thrower accelerates the hammer...Ch. 10 - (III) A thin rod of length l stands vertically on...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 - (II) Two uniform solid spheres of mass M and...Ch. 10 - (II) A ball of mass M and radius r1 on the end of...Ch. 10 - (II) A thin 7.0-kg wheel of radius 32 cm is...Ch. 10 - (III) Derive the formula for the moment of inertia...Ch. 10 - (III) (a) Derive the formula given in Fig. 1020h...Ch. 10 - (I) An automobile engine develops a torque of 255m...Ch. 10 - (I) A centrifuge rotor has a moment of inertia of...Ch. 10 - (II) A rotating uniform cylindrical platform of...Ch. 10 - (II) A merry-go-round has a mass of 1640 kg and a...Ch. 10 - (II) A Uniform thin rod of length l and mass M is...Ch. 10 - (II) Two masses, mA = 35.0 kg and mB = 38.0 kg,...Ch. 10 - (III) A 4.00-kg mass and a 3.00-kg mass are...Ch. 10 - (III) A 2.30-m-long pole is balanced vertically on...Ch. 10 - (I) Calculate the translational speed of a...Ch. 10 - (I) A bowling ball of mass 7.3kg and radius 9.0 cm...Ch. 10 - (I) Estimate the kinetic energy of the Earth with...Ch. 10 - (II) A sphere of radius r0 = 24.5 cm and mass m =...Ch. 10 - (II) A narrow but solid spool of thread has radius...Ch. 10 - (II) A ball of radius r0 rolls on the inside of a...Ch. 10 - (II) A solid rubber ball rests on the floor of a...Ch. 10 - (II) A thin, hollow 0.545-kg section of pipe of...Ch. 10 - (II) In Example 1020, (a) how far has the ball...Ch. 10 - (III) The 1100-kg mass of a car includes four...Ch. 10 - (III) A wheel with rotational inertia I=12MR2...Ch. 10 - (III) A small sphere of radius r0 = 1.5 cm rolls...Ch. 10 - (I) A rolling hall slows down because the normal...Ch. 10 - A large spool of rope rolls on the ground with the...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 - A cyclist accelerates from rest at a rate of l.00...Ch. 10 - Suppose David puts a 0.50-kg rock into a sling of...Ch. 10 - A 1.4-kg grindstone in the shape of a uniform...Ch. 10 - Bicycle gears: (a) How is the angular velocity R...Ch. 10 - Figure 1065 illustrates an H2O molecule. The O H...Ch. 10 - One possibility for a low-pollution automobile is...Ch. 10 - A hollow cylinder (hoop) is rolling on a...Ch. 10 - Prob. 93GPCh. 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 - If the coefficient of static friction between...Ch. 10 - A cord connected at one end to a block which can...Ch. 10 - The radius of the roll of paper shown in Fig. 1070...Ch. 10 - A solid uniform disk of mass 21.0 kg and radius...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 - A thin uniform stick of mass M and length l is...Ch. 10 - (a) For the yo-yo-like cylinder of Example 1019,...Ch. 10 - (II) Determine the torque produced about the...Ch. 10 - (II) Use the expression that was derived in...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Choose the best answer to each of the following. Explain your reasoning. We can be sure that variation in Earth...
Cosmic Perspective Fundamentals
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
13. When is energy most evident?
Conceptual Physical Science (6th Edition)
For a solid, we also define the linear thermal expansion coefficient, a, as the fractional increase in length p...
An Introduction to Thermal Physics
10. Why is it important to study physics? Provide a few examples of what an understanding of the physical world...
Applied Physics (11th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- If the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?arrow_forwardDoes increasing the number of blades on a propeller increase or decrease its moment of inertia, and why?arrow_forwardRepeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.arrow_forward
- 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_forwardThe oldest artificial satellite still in orbit is Vanguard I, launched March 3, 1958. It mass is 1.60 kg. Neglecting atmospheric drag, the satellite would still be in its initial orbit, with a minimum distance from the center of Earth of 7.02 Mm and a speed at this perigee point of 8.23 km/s. For this orbit, find (a) the total energy of the satelliteEarth system and (b) the magnitude of the angular momentum of the satellite. (c) At apogee, find the satellites speed and its distance from the center of the Earth. (d) Find the semimajor axis of its orbit. (e) Determine its period.arrow_forward(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 %3D Ro to Toinso odt 1s oizs IsB gadsion ai m %3D 08.2 (E 10-0 boT Ro UKE or da Problem 89. ► M 10-65 FIGURE 10-58 molecule. The H bonds incrtia Problem 58. A gl00Aarrow_forward
- (II) A small 350-gram ball on the end of a thin, light rodis rotated in a horizontal circle of radius 1.2 m. Calculate(a) the moment of inertia of the ball about the center ofthe circle, and (b) the torque needed to keep the ballrotating at constant angular velocity if air resistance exertsa force of 0.020 N on the ball. Ignore air resistance onthe rod and its moment of inertia.arrow_forward(3) www. During a stendy right turn, a person exerts the forces shown on the steering wheel. Note that each force consista of a tangential component and a radially- inward component. Determine the moment exerted about the steering column at O. 30 15 15 30 8 N 375 mmarrow_forward(I) Estimate the moment of inertia of a bicycle wheel 67 cm in diameter. The rim and tire have a combined mass of 1.1 kg. The mass of the hub (at the center) can be ignored (why?).arrow_forward
- (II) A person stands, hands at his side, on a platform that is rotating at a rate of 0.90 rev/s. If he raises his arms to a horizontal position, Fig. 8-55, the speed of rotation decreases to 0.60 rev/s. (a) Why? (b) By what factor has his moment of inertia changed? FIGURE 8–55 Problem 62.arrow_forward(III) Suppose a 65-kg person stands at the edge of a 5.5-mdiameter merry-go-round turntable that is mounted onfrictionless bearings and has a moment of inertia of 1850 kg.m2The turntable is at rest initially, but when theperson begins running at a speed of 4.0 m/s (with respectto the turntable) around its edge, the turntable begins torotate in the opposite direction. Calculate the angularvelocity of the turntable.arrow_forwardTwo weights on a bar: different axis, different I. Two small "weights," of mass 5.2 kg and 8.3 kg, are mounted 6.0 m apart on a light rod (whose mass can be ignored), as shown in Fig. 8–19. Calculate the moment of inertia of the system when rotated about an axis halfway between the weights, Fig. 8–19a. Units = kg*m^2 Two weights on a bar: different axis, different I. Two small "weights," of mass 5.6 kg and 6.9 kg, are mounted 4.0 m apart on a light rod (whose mass can be ignored), as shown in Fig. 8–19. Calculate the moment of inertia of the system when rotated about an axis halfway between the weights, Fig. 8–19a. Two weights on a bar: different axis, different I. Two small "weights," of mass 7.2 kg and 5.6 kg, are mounted 5.0 m apart on a light rod (whose mass can be ignored), as shown in Fig. 8–19. Calculate the moment of inertia of the system when rotated about an axis 1.83 m to the left of the 7.2-kg mass (Fig. 8–19b). Two weights on a bar: different axis, different I.…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY