Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10, Problem 81P
GO The thin uniform rod in Fig. 10-53 has length 2.0 m and can pivot about a horizontal, frictionless pin through one end. It is released from rest at angle θ = 40° above the horizontal. Use the principle of conservation of energy to determine the angular speed of the rod as it passes through the horizontal position.
Figure 10-53 Problem 81
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
31 In Fig. 11-42, a 0.400 kg ball is
shot directly upward at initial speed 40.0
m/s. What is its angular momentum
about P, 2.00 m horizontally from the
launch point, when the ball is (a) at Figure 11-42 Problem 31.
maximum height and (b) halfway back
to the ground? What is the torque on the ball about P due to the
gravitational force when the ball is (c) at maximum height and
(d) halfway back to the ground?
Ball
The figure shows a rigid assembly of a thin hoop (of mass m = 0.30 kg and radius R = 0.17 m) and a thin radial rod (of length L = 2R and
also of mass m = 0.30 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and
%3D
%3D
hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the
assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation?
Hoop
Rod
Rotation
axis
Number
9.23
Units
rad/s
A thin uniform rod AB of length L and mass m is nailed to a wall through point C, which lies on the rod at the distance L/4 from point A. Assume that the rod rotates frictionlessly about the nail. Initially the rod is kept horizontal,and it is then released
(a) Find the angular acceleration of the rod right after it has been released
(b) find the total kinetic energy of the rod at the moment when it was vertical
Chapter 10 Solutions
Fundamentals of Physics Extended
Ch. 10 - Figure 10-20 is a graph of the angular velocity...Ch. 10 - Figure 10-21 shows plots of angular position ...Ch. 10 - A force is applied to the rim of a disk that can...Ch. 10 - Figure 10-22b is a graph of the angular position...Ch. 10 - In Fig. 10-23, two forces F1 and F2 act on a disk...Ch. 10 - In the overhead view of Fig. 10-24, five forces of...Ch. 10 - Figure 10-25a is an overhead view of a horizontal...Ch. 10 - Figure l0-25b shows an overhead view of a...Ch. 10 - Figure 10-26 shows a uniform metal plate that had...Ch. 10 - Figure 10-27 shows three flat disks of the same...
Ch. 10 - Figure 10-28a shows a meter stick, hall wood and...Ch. 10 - Figure 10-29 shows three disks, each with a...Ch. 10 - A good baseball pitcher can throw a baseball...Ch. 10 - What is the angular speed of a the second hand, b...Ch. 10 - When a slice of buttered toast is accidentally...Ch. 10 - The angular position of a point on a rotating...Ch. 10 - ILW A diver makes 2.5 revolutions on the way from...Ch. 10 - The angular position of a point on the rim of a...Ch. 10 - The wheel in Fig. 10-30 has eight equally spaced...Ch. 10 - The angular acceleration of a wheel is = 6.0t4 ...Ch. 10 - A drum rotates around its central axis at an...Ch. 10 - Starting from rest, a disk rotates about its...Ch. 10 - A disk, initially rotating at 120 rad/s, is slowed...Ch. 10 - The angular speed of an automobile engine is...Ch. 10 - ILW A flywheel turns through 40 rev as it slows...Ch. 10 - GO A disk rotates about its central axis starling...Ch. 10 - SSM Starting from rest, a wheel has constant =...Ch. 10 - A merry-go-round rotates from rest with an angular...Ch. 10 - At t = 0, a flywheel has an angular velocity of...Ch. 10 - A pulsar is a rapidly rotating neutron star that...Ch. 10 - What are the magnitudes of a the angular velocity,...Ch. 10 - An object rotates about a fixed axis, and the...Ch. 10 - Between 1911 and 1990, the top of the leaning bell...Ch. 10 - An astronaut is tested in a centrifuge with radius...Ch. 10 - SSM WWW A flywheel with a diameter of 1.20 m is...Ch. 10 - A vinyl record is played by rotating the record so...Ch. 10 - SSM a What is the angular speed about the polar...Ch. 10 - The flywheel of a steam engine runs with a...Ch. 10 - A seed is on a turntable rotating at 3313 rev/min,...Ch. 10 - In Fig. 10-31, wheel A of radius rA = 10 cm is...Ch. 10 - Figure 10-32 shows an early method of measuring...Ch. 10 - A gyroscope flywheel of radius 2.83 cm is...Ch. 10 - GO A disk, with a radius of 0.25 m. is to be...Ch. 10 - A car starts from rest and moves around a circular...Ch. 10 - SSM Calculate the rotational inertia of a wheel...Ch. 10 - Figure 10-33 gives angular speed versus time for a...Ch. 10 - SSM Two uniform solid cylinders, each rotating...Ch. 10 - Figure 10-34a shows a disk that can rotate about...Ch. 10 - SSM Calculate the rotational inertia of a meter...Ch. 10 - Figure 10-35 shows three 0.0100 kg particles that...Ch. 10 - Trucks can be run on energy stored in a rotating...Ch. 10 - Figure 10-36 shows an arrangement of 15 identical...Ch. 10 - GO In Fig. 10-37, two particles, each with mass m...Ch. 10 - The masses and coordinates of four particles are...Ch. 10 - SSM WWW The uniform solid block in Fig. 10-38 has...Ch. 10 - Four identical particles of mass 0.50 kg each are...Ch. 10 - SSM ILW The body in Fig. 10-39 is pivoted at O,...Ch. 10 - The body in Fig. 10-40 is pivoted at O. Three...Ch. 10 - SSM A small ball of mass 0.75 kg is attached to...Ch. 10 - The length of a bicycle pedal arm is 0.152 m, and...Ch. 10 - SSM ILW During the launch from a board, a divers...Ch. 10 - If a 32.0 N m torque on a wheel causes angular...Ch. 10 - Prob. 51PCh. 10 - GO In Fig. 10-42, a cylinder having a mass of 2.0...Ch. 10 - GO Figure 10-43 shows a uniform disk that can...Ch. 10 - In a judo foot-sweep move, you sweep your...Ch. 10 - In Fig. 10-45a, an irregularly shaped plastic...Ch. 10 - Figure 10-46 shows particles 1 and 2, each of mass...Ch. 10 - GO A pulley, with a rotational inertia of 1.0 103...Ch. 10 - a IF R= 12 cm, M = 400 g, and m = 50 g in Fig....Ch. 10 - An automobile crankshaft transfers energy from the...Ch. 10 - A thin rod of length 0.75 m and mass 0.42 kg is...Ch. 10 - A 32.0 kg wheel, essentially a thin hoop with...Ch. 10 - In Fig. 10-35, three 0.0100 kg particles have been...Ch. 10 - SSM ILW A meter stick is held vertically with one...Ch. 10 - A uniform cylinder of radius 10 cm and mass 20 kg...Ch. 10 - GO A tall, cylindrical chimney fall;; over when...Ch. 10 - GO A uniform spherical shell of mass M = 4.5 kg...Ch. 10 - GO Figure 10-48 shows a rigid assembly of a thin...Ch. 10 - Prob. 68PCh. 10 - Prob. 69PCh. 10 - A wheel, starling from rest, rotates with a...Ch. 10 - SSM In Fig. 10-50, two 6.20 kg blocks are...Ch. 10 - Prob. 72PCh. 10 - A uniform helicopter rotor blade is 7.80 m long,...Ch. 10 - Prob. 74PCh. 10 - Prob. 75PCh. 10 - Starting from rest at t = 0, a wheel undergoes a...Ch. 10 - SSM A record turntable rotating at 3313 rev/min...Ch. 10 - Prob. 78PCh. 10 - Prob. 79PCh. 10 - A disk rotates al constant angular acceleration,...Ch. 10 - GO The thin uniform rod in Fig. 10-53 has length...Ch. 10 - Prob. 82PCh. 10 - Prob. 83PCh. 10 - At 7:14 A.M. on June 30, 1908, a huge explosion...Ch. 10 - A golf ball is launched at an angle of 20 to the...Ch. 10 - Prob. 86PCh. 10 - GO IN Fig. 10-55, a wheel of radius 0.20 m is...Ch. 10 - A thin spherical shell has a radius of 1.90 m. An...Ch. 10 - Prob. 89PCh. 10 - The flywheel of an engine is rotating at 25.0...Ch. 10 - SSM In Fig. 10-19a, a wheel of radius 0.20 m is...Ch. 10 - Our Sun is 23 104 ly light-years from the center...Ch. 10 - SSM A wheel of radius 0.20 m is mounted on a...Ch. 10 - If an airplane propeller rotates at 2000 rev/min...Ch. 10 - The rigid body shown in Fig. 10-57 consists of...Ch. 10 - Beverage engineering. The pull tab was a major...Ch. 10 - Figure 10-58 shows a propeller blade that rotates...Ch. 10 - A yo-yo-shaped device mounted on a horizontal...Ch. 10 - Prob. 99PCh. 10 - Two thin rods each of mass 0.20 kg are joined...Ch. 10 - In Fig. 10-61, four pulleys are connected by two...Ch. 10 - Prob. 102PCh. 10 - In Fig. 10-63, a thin uniform rod mass 3.0 kg,...Ch. 10 - Prob. 104PCh. 10 - Prob. 105PCh. 10 - A point on the rim of a 0.75-m-diameler grinding...Ch. 10 - A pulley wheel that is 8.0 cm in diameter has a...Ch. 10 - A vinyl record on a turntable rotates at 3313...
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
- Rotational Inertia Problems 5 and 6 are paired. 5. N A system consists of four boxes modeled as particles connected by very lightweight, stiff rods (Fig. P13.5). The system rotates around the z axis, which points out of the page. Each particle has a mass of 5.00 kg. The distances from the z axis to each particle are r1 = 32.0 cm, r2 = 16.0 cm, r3 = 17.0 cm, and r4 = 34.0 cm. Find the rotational inertia of the system around the z axis. 6. N Use the information in Problem 5 to find the rotational inertia of the system around particle 1. FIGURE P13.5 Problems 5 and 6.arrow_forward17-102. The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is confined to move along the smooth circular bar of radius 3 V2 ft. End B rests on the floor, for which the coefficient of kinetic friction is µg = 0.4. If the bar is released from rest when 6 = 30°, determine the angular acceleration of the bar at this instant. 6 ft 3N2 ftarrow_forwardA uniform rod of mass M and length l can pivot freely (i.e., we ignore friction) about a hinge attached to a wall, as in Fig. 8-63. The rod is held horizontally and then released. At the moment of release, determine (a) the angular acceleration of the rod, and (b) the linear acceleration of the tip of the rod. Assume that the force of gravity acts at the center of mass of the rod, as shown. [Hint: See Fig. 8–20g.] СМ FIGURE 8-63 Problem 89. Mỹarrow_forward
- n41 G0 In Fig. 10-37, two particles, each with mass m = 0.85 kg, are fas- tened to each other, and to a rotation axis at 0, by two thin rods, each with length d = 5.6 cm and mass M = 1.2 kg. The combination rotates M. Rotation axis around the rotation axis with the an- gular speed w = 0.30 rad/s. Measured about O, what are the combination's (a) rotational inertia and (b) kinetic energy? Figure 10-37 Problem 41.arrow_forwardThe thin uniform rod haslength 2.0 m and can pivot about a horizontal,frictionless pin through one end. It is releasedfrom rest at angle u = 40 above the horizontal.Use the principle of conservation of energy todetermine the angular speed of the rod as itpasses through the horizontal position.arrow_forwardFigure 10-33 gives angular speed versus time for a thin rod that rotates around one end. The scale on the w axis is set by ws = 6.0 rad/s. (a) What is the magnitude of the rod's angular acceleration? (b) At t = 4.0 s, the rod has rotational kinetic energy of 1.60 J. What is its kinetic energy at t = 0? | t (s) 4 Figure 10-33 Problem 34.arrow_forward
- Example 11-6: Torque vector. Suppose the vector ř is in the xz plane, and is given by i = (1.2 m)î + 1.2 m)k Calculate the torque vector t if F= (150 N) i.arrow_forward59. ssm Two disks are rotating about the same axis. Disk A has a moment of inertia of 3.4 kg · m² and an angular velocity of +7.2 rad/s. Disk B is rotating with an angular velocity of -9.8 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of –2.4 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B?arrow_forwardA solid ball of mass 0.10 kg and radius 2.8 cm is released from rest on a no-slip surface at a height of 0.75 m above the bottom of the track, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface. Find: a) the ball's angular speed when it is on the frictionless side of the track and b) the height ball rises on the w = 120 rad/s; h = 0.54 m frictionless side.arrow_forward
- 10-46c At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. (a) What is the tangential velocity? (b) What is the angular velocity? (c) What is its angular frequency in 1/s?arrow_forwardA solid sphere of mass 0.05 kg and diameter 2 x 10~2 m rolls without slipping with a uniform velocity of 0.05 m/sec along a straight line on a smooth horizontal table. Calculate its total energy.arrow_forwarda rigid assembly of a thin hoop (of mass mand radius R = 0.150 m) and a thin radial rod (of mass m and length L = 2.00R). The assembly is upright, but if we give it a slight nudge, it will rotate around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in such a nudge is negligible, what would be the assembly’s angular speed about the rotation axis when it passes through the upside-down (inverted) orientation?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License