Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 10, Problem 65P
A disk of radius R has an initial mass M. Then a hole of radius R/4 is drilled, with its edge at the disk center (Fig. 10.29). Find the new rotational inertia about the central axis. (Hint: Find the rotational inertia of the missing piece, and subtract it from that of the whole disk. You’ll Find the parallel-axis theorem helpful.)
FIGURE 10.29 Problems 65 and 70
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Students have asked these similar questions
Suppose you exert a force of 192 N tangential to a 0.255 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at
least 2 decimal places.)
(a) What torque (in N· m) is exerted? (Enter the magnitude.)
N. m
(b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.)
rad/s2
(c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 20.6N exerted 3.00 cm from the axis?
(Enter the magnitude.)
rad/s2
A square metal plate 0.180 m on cach side is pivoted about
an axis through point O at its center and perpendicular to the plate
(Fig. 10.39). Calculate the net torque about this axis due to the
three forces shown in the figure if the magnitudes of the forces are
F = 18.0 N, F2 = 26.0 N, and F3 = 14.0 N. The plate and all
forces are in the plane of the page.
F1
0.180 m
45°
0.180 m
Suppose you exert a force of 227 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.)
(a) What torque (in N · m) is exerted? (Enter the magnitude.)
N.m
(b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.)
rad/s2
(c) What is the angular acceleration (in rad/s2) if there is an opposing frictional force of 22.6 N exerted 2.50 cm from the axis? (Enter the magnitude.)
rad/s2
Chapter 10 Solutions
Essential University Physics
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Ch. 10 - Is it possible to apply a counterclockwise torque...Ch. 10 - A solid sphere and a hollow sphere of the same...Ch. 10 - A solid cylinder and a hollow cylinder of the same...Ch. 10 - A circular saw lakes a long time to stop rotating...Ch. 10 - The lower part of a horses leg contains...Ch. 10 - Given a fixed amount of a material, what shape...Ch. 10 - A ball starts from rest and rolls without slipping...Ch. 10 - Exercises and Problems Exercises Section 10.1...Ch. 10 - Whats the linear speed of a point (a) on Earths...Ch. 10 -
Express each of the following in radium per...Ch. 10 - A 25-cm-diameter circular saw blade spins at 3500...Ch. 10 - A compact discs rotation varies from about 200 rpm...Ch. 10 - During startup, a power plants turbine accelerates...Ch. 10 - A merry-go-round starts front rest and accelerates...Ch. 10 - Section 10.2 Torque A 320-N frictional force acts...Ch. 10 - Prob. 19ECh. 10 - A car tune-up manual calls for tightening the...Ch. 10 - A 55-g mouse runs out to the end of the 17-cm-long...Ch. 10 - You have your bicycle upside down for repairs. The...Ch. 10 - Section 10.3 Rotational Inertia and the Analog of...Ch. 10 - The shaft connecting a power plants turbine and...Ch. 10 - The chamber of a rock-tumbling machine is a hollow...Ch. 10 - A wheels diameter is 92 cm, and its rotational...Ch. 10 - (a) Estimate Earths rotational inertia, assuming...Ch. 10 - A 108-g Frisbee is 24 cm in diameter and has half...Ch. 10 - At the MIT Magnet Laboratory, energy is stored in...Ch. 10 - Section 10.4 Rotational Energy A 25-cm-diameter...Ch. 10 - Humankind uses energy at the rate of about 16 TW....Ch. 10 - A 150-g baseball is pitched at 33 m/s spinning at...Ch. 10 - (a) Find the energy stored in the flywheel of...Ch. 10 - A solid 2.4-kg sphere is rolling at 5.0 m/s. Find...Ch. 10 - What fraction of a solid disks kinetic energy is...Ch. 10 - A rolling ball has total kinetic energy 100 J, 40...Ch. 10 - Prob. 37ECh. 10 - Example 10.5: The rotational inertia of a thin rod...Ch. 10 - Prob. 39ECh. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Prob. 42ECh. 10 - Example 10.12: A 29.5-kg wheel with radius 40.6 cm...Ch. 10 - Prob. 44ECh. 10 - A wheel turns through 2.0 revolutions while...Ch. 10 - Youre an engineer designing kitchen appliances,...Ch. 10 - You rev your cars engine and watch the tachometer...Ch. 10 - A circular saw spins at 5800 rpm, and its...Ch. 10 - Full-circle rotation is common in mechanical...Ch. 10 - A square frame is made from four thin rods, each...Ch. 10 - A thick ring has inner radius 12R, outer radius R,...Ch. 10 - A uniform rectangular flat plate has mass M and...Ch. 10 - The cellular motor driving the flagellum in E....Ch. 10 - Verify by direct integration Table 10.2s entry for...Ch. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - A 2.4-kg block rests on a slope and is attached by...Ch. 10 - Youve got your bicycle upside down for repairs,...Ch. 10 - A potters wheel is a stone disk 90 cm in diameter...Ch. 10 - A ships anchor weighs 5.0kN. Its cable passes over...Ch. 10 - Starting from rest, a hollow ball rolls down a...Ch. 10 - A hollow ball rolls along a horizontal surface at...Ch. 10 - As an automotive engineer, youre charged with...Ch. 10 - A solid ball of mass M and radius R starts at rest...Ch. 10 - A disk of radius R has an initial mass M. Then a...Ch. 10 - A 50-kg mass is tied to a massless rope wrapped...Ch. 10 - Each wheel of a 320-kg motorcycle is 52 cm in...Ch. 10 - A solid marble starts from rest and rolls without...Ch. 10 - A disk of radius R and thickness w has a mass...Ch. 10 - The disk in Fig. 10.29 is rotating freely about a...Ch. 10 - Prob. 71PCh. 10 - A lighter car requires less power for a given...Ch. 10 - Calculate the rotational inertia of a solid,...Ch. 10 - A thick ring of mass M has inner radius R1 and...Ch. 10 - Prob. 75PCh. 10 - The local historical society has asked your...Ch. 10 - Youre skeptical about a new hybrid car that stores...Ch. 10 - Figure 10.31 shows an object of mass M with one...Ch. 10 - Figure 10.32 shows an apparatus used to measure...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...Ch. 10 - Centrifuges are widely used in biology and...
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