1 Doing Physics 2 Motion In A Straight Line 3 Motion In Two And Three Dimensions 4 Force And Motion 5 Using Newton's Laws 6 Energy, Work, And Power 7 Conservation Of Energy 8 Gravity 9 Systems Of Particles 10 Rotational Motion 11 Rotational Vectors And Angular Momentum 12 Static Equilibrium 13 Oscillatory Motion 14 Wave Motion 15 Fluid Motion 16 Temperature And Heat 17 The Thermal Behavior Of Matter 18 Heat, Work, And The First Law Of Thermodynamics 19 The Second Law Of Thermodynamics 20 Electric Charge, Force, And Field 21 Gauss's Law 22 Electric Potential 23 Electrostatic Energy And Capacitors 24 Electric Current 25 Electric Circuits 26 Magnetism: Force And Field 27 Electromagnetic Induction 28 Alternating-current Circuits 29 Maxwell's Equations And Electromagnetic Waves 30 Reflection And Refraction 31 Images And Optical Instruments 32 Interference And Diffraction 33 Relativity 34 Particles And Waves 35 Quantum Mechanics 36 Atomic Physics 37 Molecules And Solids 38 Nuclear Physics 39 From Quarks To The Cosmos expand_more
10.1 Angular Velocity And Acceleration 10.2 Torque 10.3 Rotational Inertia And The Analog Of Newton's Law 10.4 Rotational Energy 10.5 Rolling Motion Chapter Questions expand_more
Problem 1FTD: Do all points on a rigid, rotating object have the same angular velocity? Linear speed? Radial... Problem 2FTD Problem 3FTD: Why doesnt it make sense to talk about a bodys rotational inertia unless you specify a rotation... Problem 4FTD: Two forces act on an object, but the net force is zero. Must the net torque be zero? If so, why? If... Problem 5FTD: Is it possible to apply a counterclockwise torque to an object thats rotating clockwise? If so, how... Problem 6FTD: A solid sphere and a hollow sphere of the same mass and radius are rolling along level ground. If... Problem 7FTD: A solid cylinder and a hollow cylinder of the same mass and radius are rolling along level ground at... Problem 8FTD: A circular saw lakes a long time to stop rotating after the power is turned off. Without the saw... Problem 9FTD: A solid sphere and a solid cube have the same mass, and the side of the cube is equal to the... Problem 10FTD: The lower part of a horses leg contains essentially no muscle. How does this help the horse to run... Problem 11FTD: Given a fixed amount of a material, what shape should you make a flywheel so it will store the most... Problem 12FTD: A ball starts from rest and rolls without slipping down a slope, then starts up a frictionless slope... Problem 13E: Exercises and Problems Exercises Section 10.1 Angular Velocity and Acceleration Determine the... Problem 14E: Whats the linear speed of a point (a) on Earths equator and (b) at your latitude? Problem 15E: Express each of the following in radians per second: (a) 720 rpm; (b) 50/h; (c) 1000 rev/s; (d) 1... Problem 16E: A 25-cm-diameter circular saw blade spins at 3500 rpm. How fast would you have to push a straight... Problem 17E: A compact discs rotation varies from about 200 rpm to 500 rpm. If the disc plays for 74 min, whats... Problem 18E: During startup, a power plants turbine accelerates from rest at 0.52 rad/s2. (a) How long does it... Problem 19E: A merry-go-round starts front rest and accelerates with angular acceleration 0.010 rad/s2 for 14 s.... Problem 20E: Section 10.2 Torque A 320-N frictional force acts on the rim of a 1.0-m-diameter wheel to oppose its... Problem 21E: A 110-N m torque is needed to start a revolving door rotating. If child can push with a maximum... Problem 22E: A car tune-up manual calls for tightening the spark plugs to a torque of 35.0 N m. To achieve this... Problem 23E: A 55-g mouse runs out to the end of the 17-cm-long minute hand of a grandfather clock when the clock... Problem 24E: You have your bicycle upside down for repairs. The front wheel is free to rotate and is perfectly... Problem 25E: Section 10.3 Rotational Inertia and the Analog of Newtons Law Four equal masses m are located at the... Problem 26E: The shaft connecting a power plants turbine and electric generator is a solid cylinder of mass 6.8... Problem 27E: The chamber of a rock-tumbling machine is a hollow cylinder with mass 120 g and radius 8.5 cm. The... Problem 28E: A wheels diameter is 92 cm, and its rotational inertia is 7.8 kg m2. (a) Whats the minimum mass it... Problem 29E: Three equal masses m are located at the vertices of an equilateral triangle of side L, connected by... Problem 30E: (a) Estimate Earths rotational inertia, assuming it to be a uniform solid sphere. (b) What torque... Problem 31E: A neutron star is an extremely dense, rapidly spinning object that results from the collapse of a... Problem 32E: A 108-g Frisbee is 24 cm in diameter and has half its mass spread uniformly in the disk and the... Problem 33E: At the MIT Magnet Laboratory, energy is stored in huge solid flywheels of mass 7.7 104 kg and... Problem 34E: Section 10.4 Rotational Energy A 25-cm-diameter circular saw blade has mass 0.85 kg, distributed... Problem 35E: Humankind uses energy at the rate of about 16 TW. If we found a way to extract this energy from... Problem 36E: A 150-g baseball is pitched at 33 m/s spinning at 42 rad/s. You can treat the baseball as a uniform... Problem 37E: (a) Find the energy stored in the flywheel of Exercise 33 when its rotating at 360 rpm. (b) The... Problem 38E: A solid 2.4-kg sphere is rolling at 5.0 m/s. Find (a) its translational kinetic energy and (b) its... Problem 39E: What fraction of a solid disks kinetic energy is rotational if its rolling without slipping? Problem 40E: A rolling ball has total kinetic energy 100 J, 40 J of which is rotational energy. Is the ball solid... Problem 41P: A wheel turns through 2.0 revolutions while accelerating from rest at 18 rpm/s. (a) What's its final... Problem 42P: Youre an engineer designing kitchen appliances, and youre working on a two-speed food blender, with... Problem 43P: An eagle with 2.1-m wingspan flaps its wings 20 times per minute, each stroke extending from 45... Problem 44P: A compact disc (CD) player varies the rotation rate of the disc in order to keep the part of the... Problem 45P: You rev your cars engine and watch the tachometer climb steadily from 1200 rpm to 5500 rpm in 2.7 s.... Problem 46P: A circular saw spins at 5800 rpm, and its electronic brake is supposed to stop it in less than 2 s.... Problem 47P: Full-circle rotation is common in mechanical systems, but less evident in biology. Yet many... Problem 48P: A pulley 12 cm in diameter is free to rotate about a horizontal axle. A 220-g mass and a 470-g mass... Problem 49P: A square frame is made from four thin rods, each of length L and mass m. Calculate its rotational... Problem 50P: A thick ring has inner radius 12R, outer radius R, and mass M. Find an expression for its rotational... Problem 51P: A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in... Problem 52P: Each propeller on a King Air twin-engine airplane consists of three blades, each of mass 10 kg and... Problem 53P: The cellular motor driving the flagellum in E. coli (see Problem 47) exerts a typical torque of 400... Problem 54P: Verify by direct integration Table 10.2s entry for the rotational inertia of a flat plate about a... Problem 55P Problem 56P: A skaters body has rotational inertia 4.2 kgm2 with his fists held to his chest and 5.7 kg m2with... Problem 57P: A 2.4-kg block rests on a slope and is attached by a string of negligible mass to a solid drum of... Problem 58P: Youve got your bicycle upside down for repairs, with its 66-cm-diameter wheel spinning freely at 230... Problem 59P: A potters wheel is a stone disk 90 cm in diameter with mass 120 kg. If the potters foot pushes at... Problem 60P: A ships anchor weighs 5.0kN. Its cable passes over a roller of negligible mass and is wound around a... Problem 61P: Starting from rest, a hollow ball rolls down a ramp inclined at angle to the horizontal. Find an... Problem 62P: A hollow ball rolls along a horizontal surface at 3.7 m/s when it encounters an upward incline. If... Problem 63P: As an automotive engineer, youre charged with improving the fuel economy of your companys vehicles.... Problem 64P: A solid ball of mass M and radius R starts at rest at height h above the bottom of the path in Fig.... 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... Problem 66P: A 50-kg mass is tied to a massless rope wrapped around a solid cylindrical drum, mounted on a... Problem 67P: Each wheel of a 320-kg motorcycle is 52 cm in diameter and has rotational inertia 2.1 kgm2. The... Problem 68P: A solid marble starts from rest and rolls without slipping on the loop-the-loop track in Fig. 10.30.... Problem 69P: A disk of radius R and thickness w has a mass density that increases from the center outward, given... Problem 70P: The disk in Fig. 10.29 is rotating freely about a frictionless horizontal axle. Since the disk is... Problem 71P: Youre asked to check the specifications for a wind turbine. The turbine produces a peak electric... Problem 72P: In bicycling, each foot pushes on the pedal for half a rotation of the pedal shaft; that foot then... Problem 73P Problem 74P: A thick ring of mass M has inner radius R1 and outer radius R2. Show that its rotational inertia is... Problem 75P: A thin rod of length L and mass M is free to pivot about one end. If it makes an angle with the... Problem 76P: The local historical society has asked your assistance in writing the interpretive material for a... Problem 77P: Youre skeptical about a new hybrid car that stores energy in a flywheel. The manufacturer claims the... Problem 78P: Figure 10.31 shows an object of mass M with one axis through its center of mass and a parallel axis... Problem 79P: Figure 10.32 shows an apparatus used to measure rotational inertias of various objects, in this case... Problem 80PP: Centrifuges are widely used in biology and medicine to separate cells and other particles from... Problem 81PP: Centrifuges are widely used in biology and medicine to separate cells and other particles from... Problem 82PP: Centrifuges are widely used in biology and medicine to separate cells and other particles from... Problem 83PP: Centrifuges are widely used in biology and medicine to separate cells and other particles from... Problem 84PP: Centrifuges are widely used in biology and medicine to separate cells and other particles from... format_list_bulleted