Essential University Physics: Volume 1 (3rd Edition)
3rd Edition
ISBN: 9780321993724
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 10, Problem 70P
The disk in Fig. 10.29 is rotating freely about a frictionless horizontal axle. Since the disk is unbalanced, its angular speed varies as it rotates. If the maximum angular speed is ωmax, find an expression for the minimum speed. (Hint: How does potential energy change as the wheel rotates?)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Each wheel of a 300-kg motorcycle is 61 cm in diameter and has rotational inertia 1.5 kg·m2. The cycle and its 72-kg rider are coasting at 75 km/h on flat road when they encounter a hill. if the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?
Answer the following question?
Solve it?
Chapter 10 Solutions
Essential University Physics: Volume 1 (3rd Edition)
Ch. 10.1 - A wheel undergoes constant angular acceleration,...Ch. 10.2 - The forces in Figs. 10.5 and 10.6 all have the...Ch. 10.3 - Would the rotational inertia of the two-mass...Ch. 10.3 - Explain why the rotational inertia of the solid...Ch. 10.3 - The figure shows two identical masses m connected...Ch. 10.4 - A wheel is rotating at 100 rpm. To spin it up to...Ch. 10.5 - The wheels of trains, subway cars, and other rail...Ch. 10 - Do all points on a rigid, rotating object have the...Ch. 10 - A point on the rim of a rotating wheel has nonzero...Ch. 10 - Why doesnt it make sense to talk about a bodys...
Ch. 10 - Two forces act on an object, but the net force is...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 - A solid sphere and a solid cube have the same...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 radians 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 - A 110-N m torque is needed to start a revolving...Ch. 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 - Three equal masses m are located at the vertices...Ch. 10 - (a) Estimate Earths rotational inertia, assuming...Ch. 10 - A neutron star is an extremely dense, rapidly...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 - A wheel turns through 2.0 revolutions while...Ch. 10 - Youre an engineer designing kitchen appliances,...Ch. 10 - An eagle with 2.1-m wingspan flaps its wings 20...Ch. 10 - A compact disc (CD) player varies the rotation...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 pulley 12 cm in diameter is free to rotate about...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 - Each propeller on a King Air twin-engine airplane...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 - A skaters body has rotational inertia 4.2 kgm2...Ch. 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 - Youre asked to check the specifications for a wind...Ch. 10 - In bicycling, each foot pushes on the pedal for...Ch. 10 - Calculate the rotational inertia of a solid,...Ch. 10 - A thick ring of mass M has inner radius R1 and...Ch. 10 - A thin rod of length L and mass M is free to pivot...Ch. 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...
Additional Science Textbook Solutions
Find more solutions based on key concepts
16. Jim says that momentum is not a conserved quantity because objects can gain and lose momentum. Do you agree...
College Physics
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk (*) desi...
The Cosmic Perspective Fundamentals (2nd Edition)
TEST YOUR UNDERSTANDING OF SECTION 16.4 If you connect a hose to one end of a metal pipe and blow compressed ai...
University Physics with Modern Physics (14th Edition)
14. A 1.50 kg book is sliding along a rough horizontal surface. At point A it is moving at 3.21 m/s, and at poi...
College Physics (10th Edition)
18.(II) (a) Determine the equivalent resistance of the “ladder” of equal 175-? resistors shown in Fig. 19-49. I...
Physics: Principles with Applications
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
- A simple wheel has the form of a solid cylinder of radius r with a mass m uniformly distributed throughout its volume. The wheel is pivoted on a stationary axle through the axis of the cylinder and rotates about the axle at a constant angular speed. The wheel rotates n full revolutions in a time interval t. What is the kinetic energy K of the rotating wheel? Express your answer in terms of m, r, n, t, and π.arrow_forwardA 4.00 m length of lightweight cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.28 kg. The spool is mounted on an axle with negligible friction and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 3.00 m/s2. (a)How much work has been done on the spool (in J) when it reaches an angular speed of 5.47 rad/s? (b)How long (in s) does it take the spool to reach this angular speed? (c)How much cord is left on the spool (in m) when it reaches this angular speed?arrow_forwardA 330 kg motorcycle includes two wheels, each of which is 48 cm in diameter and has rotational inertia 2.5 kg⋅m2 . The cycle and its 61 kg rider are coasting at 90 km/h on a flat road when they encounter a hill. If the cycle rolls up the hill with no applied power and no significant internal friction, what vertical height will it reach?arrow_forward
- 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/sarrow_forwardSome European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 400 π rad/s. One such flywheel is a solid, uniform cylinder with a mass of 620 kg and a radius of 1.24 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 6.3 kW, for how many minutes can it operate between chargings?arrow_forwardSome European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 250 Trad/s. One such flywheel is a solid, uniform cylinder with a mass of 730 kg and a radius of 0.972 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 7.8 kW, for how many minutes can it operate between chargings? (a) Number (b) Number Units Unitsarrow_forward
- A cord is wrapped around a pulley that is shaped like a disk of mass m and radius r. The cord's free end is connected to a block of mass M. The block starts from rest and then slides down an incline that makes an angle O with the horizontal as shown in the figure below. The coefficient of kinetic friction between the block and the incline is µu. (a) Use the concepts of energy to find an expression for the block's speed as a function of position, d, down the incline. (b) Find the magnitude of the acceleration of the block in terms of µ, m, M, g and O. m,r, Marrow_forwardTrucks can be run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 683 rad/s. One such flywheel is a solid, uniform cylinder with a mass of 535 kg and a radius of 1.2 m that rotates about its central axis. What is the kinetic energy of the flywheel after charging? If the truck uses an average power of 8.4 kW, for how many minutes can it operate between chargings?arrow_forwardA screwdriver turns a screw an angle of 5.85 radians by applying a torque given by (in Nm) 02 T=2.12 + 6. Calculate the work done, W by the torque. Enter W, measured in Joules, correct to three significant figures:arrow_forward
- a 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_forwardThe rigid body shown in the figure consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If M = 0.58 kg, a = 33 cm, and b = 56 cm, how much work is required to take the body from rest to an angular speed of 4.8 rad/s?arrow_forwardIn Fig. below, two blocks, of masses 2 kg and 3 kg, are connected by a light string that passes over a pulley of moment of inertia 0.004 kg · m2 and radius 5 cm. The coefficient of friction for the table top is 0.30. The blocks are released from rest. Using energy methods, one can deduce that after the upper block has moved 0.6 m, its speed is: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
Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY