College Physics 10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Raymond A. Serway, Chris Vuille
1 Introduction 2 Motion In One Dimension 3 Vectors And Two-Dimensional Motion 4 The Laws Of Motion 5 Energy 6 Momentum And Collisions 7 Rotational Motion And The Law Of Gravity 8 Rotational Equilibrium And Rotational Dynamics 9 Solids And Fluids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And Electric Fields 16 Electrical Energy And Capacitance 17 Current And Resistance 18 Direct-Current Circuits 19 Magnetism 20 Induced Voltages And Inductance 21 Alternating-Current Circuits And Electromagnetic Waves 22 Reflection And Refraction Of Light 23 Mirrors And Lenses 24 Wave Optics 25 Optical Instruments 26 Relativity 27 Quantum Physics 28 Atomic Physics 29 Nuclear Physics 30 Nuclear Energy And Elementary Particles Chapter8: Rotational Equilibrium And Rotational Dynamics
8.1 Torque 8.2 Torque And The Two Conditions For Equilibrium 8.3 The Center Of Gravity 8.4 Examples Of Objects In Equilibrium 8.5 Relationship Between Torque And Angular Acceleration 8.6 Rotational Kinetic Energy 8.7 Angular Momentum Chapter Questions Section: Chapter Questions
Problem 1WUE: Math Review The two conditions for equilibrium (see Sections 8.2 and 8.4) often result in a system... Problem 2WUE: Math Review Solve the equations 12mv2+12I2=mgh and = r for the speed v using substitution, given... Problem 3WUE Problem 4WUE: Physics Review A construction cranes cable lifts a 50.0-kg box upward with an acceleration of 1.50... Problem 5WUE: A man opens a 1.00-m wide door by pushing on it with a force of 50.0 N directed perpendicular to its... Problem 6WUE: A worker applies a torque to a nut with a wrench 0.500 m long. Because of the cramped space, she... Problem 7WUE Problem 8WUE: A horizontal plank 4.00 m long and having mass 20.0 kg rests on two pivots, one at the left end and... Problem 9WUE: A student rides his bicycle at a constant speed of 3.00 m/s along a straight, level road. If the... Problem 10WUE: What is- the magnitude of the angular acceleration of a 25.0-kg disk of radius 0.800 m when a torque... Problem 11WUE Problem 12WUE: A bowling ball of mass 7.00 kg is rolling at 3.00 m/s along a level surface. Calculate (a) the balls... Problem 13WUE: A basketball player entertains the crowd by spinning a basketball on his nose. The basketball has a... Problem 14WUE: A disk of mass m is spinning freely at 6.00 rad/s when a second identical disk, initially not... Problem 1CQ: Why cant you put your heels firmly against a wall and then I bend over without falling? Problem 3CQ: If you see an object rotating, is there necessarily a net torque acting on it? Problem 4CQ: (a) Is it possible to calculate the torque acting on a rigid object without specifying an origin?... Problem 5CQ: Why does a long pole help a tightrope walker stay balanced? Problem 8CQ: If you toss a textbook into the air, rotating it each time about one of the three axes perpendicular... Problem 9CQ: Stars originate as large bodies of slowly rotating gas. Because of gravity, these clumps of gas... Problem 11CQ: In a tape recorder, the tape is pulled past the read-write heads at a constant speed by the drive... Problem 12CQ: (a) Give an example in which the net force acting on an object is zero, yet the net torque is... Problem 14CQ: A cat usually lands on its feet regardless of the position from which it is dropped. A slow-motion... Problem 15CQ: A solid disk and a hoop are simultaneously released from rest at the top of an incline and roll down... Problem 16CQ: A mouse is initially at rest on a horizontal turntable mounted on a frictionless, vertical axle. As... Problem 17CQ: The cars in a soapbox derby have no engines; they simply coast downhill. Which of the following... Problem 1P: The fishing pole in Figure P8.3 makes an angle of 20.0 with the horizontal. What is the magnitude of... Problem 2P: Find the net torque on the wheel in Figure P8.4 about the axle through O perpendicular to the page,... Problem 3P: Figure P8.4 Calculate the net torque (magnitude and direction) on the beam in Figure P8.5 about (a)... Problem 4P: A dental bracket exerts a horizontal force of 80.0 N on a tooth at point B in Figure P8.6. What is... Problem 5P: A simple pendulum consists of a small object of mass 3.0 kg hanging at the end of a 2.0-m-long light... Problem 6P: Write the necessary equations of equilibrium of the object shown in Figure P8.32. Take the origin of... Problem 7P: Torque and the Two Conditions for Equilibrium 17. The arm in Figure P8.17 weighs 41.5 N. The force... Problem 8P Problem 9P: A cook holds a 2.00-kg carton of milk at arm's length P8.19). What force FB must be exerted by the... Problem 10P: A meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. When a 50.0-gram... Problem 11P Problem 12P: A beam resting on two pivots has a length of L = 6.00 m and mass M = 90.0 kg. The pivot under the... Problem 13P Problem 14P Problem 15P: Many of the elements in horizontal-bar exercises can be modeled by representing the gymnast by four... Problem 16P Problem 17P Problem 18P: When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in... Problem 19P: A 500.-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,... Problem 20P: A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold... Problem 21P: A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes, as indicated by the... Problem 22P: A hungry bear weighing 700. N walks out on a beam in an attempt to retrieve a basket of goodies... Problem 23P Problem 24P Problem 25P Problem 26P Problem 27P Problem 28P Problem 29P Problem 30P Problem 31P: Four objects are held in position at the corners of a rectangle by light rods as shown in Figure... Problem 32P: If the system shown in Figure P8.37 is set in rotation about each of the axes mentioned in Problem... Problem 33P: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a... Problem 34P: An oversized yo-yo is made from two identical solid disks each of mass M = 2.00 kg and radius R =... Problem 35P: A rope of negligible mass is wrapped around a 225 kg solid cylinder of radius 0.400 m. The cylinder... Problem 36P: A potters wheel having a radius of 0.50 m and a moment of inertia of 12 kg - m2 is rotating freely... Problem 37P: A model airplane with mass 0.750 kg is tethered by a wire so that it flies in a circle 30.0 m in... Problem 38P: A bicycle wheel has a diameter of 64.0 cm and a mass of 1.80 kg. Assume that the wheel is a hoop... Problem 39P: A 150.-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set... Problem 40P: An Atwoods machine consists of blocks of masses m1 = 10.0 kg and m2 = 20.0 kg attached by a cord... Problem 41P: An airliner lands with a speed of 50.0 m/s. Each wheel of the plane has a radius of 1.25 m and a... Problem 42P: A car is designed to get its energy from a rotating solid-disk flywheel with a radius of 2.00 m and... Problem 43P: A horizontal 800.-N merry-go-round of radius 1.50 m is started from rest by a constant horizontal... Problem 44P: Four objectsa hoop, a solid cylinder, a solid sphere, and a thin, spherical shelleach have a mass of... Problem 45P: A light rod of length = 1.00 m rotates about an axis perpendicular to its length and passing... Problem 46P: A 240-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 37 with... Problem 47P: A solid, uniform disk of radius 0.250 m and mass 55.0 kg rolls down a ramp of length 4.50 m that... Problem 48P: A solid uniform sphere of mass m and radius R rolls without slipping down an incline of height h.... Problem 49P: The top in Figure P8.55 has a moment of inertia of 4.00 104 kg m2 and is initially at rest It is... Problem 50P: A constant torque of 25.0 N m is applied to a grindstone whose moment of inertia is 0.130 kg m2.... Problem 51P: A 10.0-kg cylinder rolls without slipping on a rough surface. At an instant when its center of... Problem 52P: Use conservation of energy to determine the angular speed of the spool shown in Figure P8.58 after... Problem 53P: A giant swing at an amusement park consists of a 365-kg uniform arm 10.0 m long, with two seats of... Problem 54P: Each of the following objects has a radius of 0.180 m and a mass of 2.40 kg, and each rotates about... Problem 55P: (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis,... Problem 56P: A 0.005 00-kg bullet traveling horizontally with a speed of 1.00 103 m/s enters an 18.0-kg door,... Problem 57P: A light, rigid rod of length = 1.00 m rotates about an axis perpendicular to its length and through... Problem 58P: Haileys comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being... Problem 59P: A rigid, massless rod has three particles with equal masses attached to it as shown in Figure P8.59.... Problem 60P: A 60.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg m2... Problem 61P: A solid, horizontal cylinder of mass 10.0 kg and radius 1.00 m rotates with an angular speed of 7.00... Problem 62P: A student sits on a rotating stool holding two 3.0-kg objects. When his arms are extended... Problem 63P: The puck in Figure P8.71 has a mass of 0.120 kg. Its original distance from the center of rotation... Problem 64P: A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of 5.00 108... Problem 65P: A cylinder with moment of inertia I1 rotates with angular velocity 0 about a frictionless vertical... Problem 66P: A particle of mass 0.400 kg is attached to the 100-cm mark of a meter stick of mass 0.100 kg. The... Problem 67AP: Additional Problems A typical propeller of a turbine used to generate electricity from the wind... Problem 68AP Problem 69AP Problem 70AP Problem 71AP: A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of... Problem 72AP: Two astronauts (Fig. P8.80), each haring a mass of 75.0 kg, are connected by a 10.0-m rope of... Problem 73AP: S This is a symbolic version of problem 80. Two astronauts (Fig. P8.80), each having a mass M, are... Problem 74AP: Two window washers. Bob and Joe, are on a 3.00-m-long, 345-N scaffold supported by two cables... Problem 75AP: A 2.35-kg uniform bar of length = 1.30 m is held in a horizontal position by three vertical springs... Problem 76AP: A light rod of length 2L is free to rotate in a vertical plane about a frictionless pivot through... Problem 77AP: A light rope passes over a light, frictionless pulley. One end is fastened 10 a bunch of bananas of... Problem 78AP: An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a... Problem 79AP Problem 80AP: A uniform thin rod of length L and mass M is free to rotate on a frictionless pin passing through... Problem 81AP Problem 82AP Problem 83AP: A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now... Problem 84AP: A string is wrapped around a uniform cylinder of mass M and radius R. The cylinder is released from... Problem 85AP: The Iron Cross When a gymnast weighing 750 N executes the iron cross as in Figure lN.91a, the... Problem 86AP: In an emergency situation, a person with a broken forearm ties a strap from his hand to clip on his... Problem 87AP: An object of mass m1 = 4.00 kg is connected by a light cord to an object of mass m2 = 3.00 kg on a... Problem 88AP Problem 89AP: A 3.2-kg sphere is suspended by a cord that passes over a 1.8-kg pulley of radius 3.8 cm. The cord... Problem 3WUE
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A 25.00 m long nylon rope is wound around a bobbin with a radius of 0.75 m and a mass of 2.50 kg. The bobbin is placed on a frictionless axis and has an initial angular velocity of 1.5 rad/s. The rope is started to be pulled from the bobbin with a constant angular acceleration of 3.50 m/s2. How much work has been done on the bobbin when it reaches 12 rad/s?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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