Fundamentals of Physics
10th Edition
ISBN: 9781118230732
Author: David Halliday
Publisher: WILEY
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Chapter 10, Problem 79P
To determine
To show:
a) That rotational inertia of a solid cylinder of mass M and radius R about its central axis is equal to the rotational inertia of a thin hoop of mass M and radius
b) That the rotational inertia I of any given body of mass M about any given axis is equal to rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and radius k given by
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Chapter 10 Solutions
Fundamentals of Physics
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...
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