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 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: A point on the rim of a rotating wheel has nonzero acceleration, since its moving in a circular... Problem 3FTD: Two forces act on an object, but the net force is zero. Must the net torque be zero? If so, why? If... Problem 4FTD: Is it possible to apply a counterclockwise torque to an object thats rotating clockwise? If so, how... Problem 5FTD: A solid sphere and a hollow sphere of the same mass and radius are rolling along level ground. If... Problem 6FTD: A solid cylinder and a hollow cylinder of the same mass and radius are rolling along level ground at... Problem 7FTD: A circular saw lakes a long time to stop rotating after the power is turned off. Without the saw... Problem 8FTD: The lower part of a horses leg contains essentially no muscle. How does this help the horse to run... Problem 9FTD: Given a fixed amount of a material, what shape should you make a flywheel so it will store the most... Problem 10FTD: A ball starts from rest and rolls without slipping down a slope, then starts up a frictionless slope... Problem 11E: Exercises and Problems Exercises Section 10.1 Angular Velocity and Acceleration Determine the... Problem 12E: Whats the linear speed of a point (a) on Earths equator and (b) at your latitude? Problem 13E:
Express each of the following in radium per second: (a) 720 rpm; (b) 50°/h; (c) 1000 rev/s; (d) 1... Problem 14E: A 25-cm-diameter circular saw blade spins at 3500 rpm. How fast would you have to push a straight... Problem 15E: A compact discs rotation varies from about 200 rpm to 500 rpm. If the disc plays for 74 min, whats... Problem 16E: During startup, a power plants turbine accelerates from rest at 0.52 rad/s2. (a) How long does it... Problem 17E: A merry-go-round starts front rest and accelerates with angular acceleration 0.010 rad/s2 for 14 s.... Problem 18E: Section 10.2 Torque A 320-N frictional force acts on the rim of a 1.0-m-diameter wheel to oppose its... Problem 19E Problem 20E: A car tune-up manual calls for tightening the spark plugs to a torque of 35.0 N m. To achieve this... Problem 21E: A 55-g mouse runs out to the end of the 17-cm-long minute hand of a grandfather clock when the clock... Problem 22E: You have your bicycle upside down for repairs. The front wheel is free to rotate and is perfectly... Problem 23E: Section 10.3 Rotational Inertia and the Analog of Newtons Law Four equal masses m are located at the... Problem 24E: The shaft connecting a power plants turbine and electric generator is a solid cylinder of mass 6.8... Problem 25E: The chamber of a rock-tumbling machine is a hollow cylinder with mass 120 g and radius 8.5 cm. The... Problem 26E: A wheels diameter is 92 cm, and its rotational inertia is 7.8 kg m2. (a) Whats the minimum mass it... Problem 27E: (a) Estimate Earths rotational inertia, assuming it to be a uniform solid sphere. (b) What torque... Problem 28E: A 108-g Frisbee is 24 cm in diameter and has half its mass spread uniformly in the disk and the... Problem 29E: At the MIT Magnet Laboratory, energy is stored in huge solid flywheels of mass 7.7 104 kg and... Problem 30E: Section 10.4 Rotational Energy A 25-cm-diameter circular saw blade has mass 0.85 kg, distributed... Problem 31E: Humankind uses energy at the rate of about 16 TW. If we found a way to extract this energy from... Problem 32E: A 150-g baseball is pitched at 33 m/s spinning at 42 rad/s. You can treat the baseball as a uniform... Problem 33E: (a) Find the energy stored in the flywheel of Exercise 33 when its rotating at 360 rpm. (b) The... Problem 34E: A solid 2.4-kg sphere is rolling at 5.0 m/s. Find (a) its translational kinetic energy and (b) its... Problem 35E: What fraction of a solid disks kinetic energy is rotational if its rolling without slipping? Problem 36E: A rolling ball has total kinetic energy 100 J, 40 J of which is rotational energy. Is the ball solid... Problem 37E Problem 38E: Example 10.5: The rotational inertia of a thin rod of mass and length L about a perpendicular axis... Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E: Example 10.12: A 29.5-kg wheel with radius 40.6 cm and rotational inertia 3.58 kg-m2 starts from... Problem 44E Problem 45P: A wheel turns through 2.0 revolutions while accelerating from rest at 18 rpm/s. (a) What's its final... Problem 46P: Youre an engineer designing kitchen appliances, and youre working on a two-speed food blender, with... Problem 47P: You rev your cars engine and watch the tachometer climb steadily from 1200 rpm to 5500 rpm in 2.7 s.... Problem 48P: A circular saw spins at 5800 rpm, and its electronic brake is supposed to stop it in less than 2 s.... Problem 49P: Full-circle rotation is common in mechanical systems, but less evident in biology. Yet many... Problem 50P: A square frame is made from four thin rods, each of length L and mass m. Calculate its rotational... Problem 51P: A thick ring has inner radius 12R, outer radius R, and mass M. Find an expression for its rotational... Problem 52P: A uniform rectangular flat plate has mass M and dimensions a by b. Use the parallel-axis theorem in... 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 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 Problem 72P: A lighter car requires less power for a given acceleration Consider a car of muss M. including its... Problem 73P: Calculate the rotational inertia of a solid, uniform right circular cone of mass M, height h, and... Problem 74P: A thick ring of mass M has inner radius R1 and outer radius R2. Show that its rotational inertia is... Problem 75P 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