College Physics 11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Raymond A. Serway, Chris Vuille
1 Units, Trigonometry. And Vectors 2 Motion In One Dimension 3 Motion In Two Dimensions 4 Newton's Laws Of Motion 5 Energy 6 Momentum, Impulse, And Collisions 7 Rotational Motion And Gravitation 8 Rotational Equilibrium And Dynamics 9 Fluids And Solids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And 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 Dynamics
8.1 Torque 8.2 Center Of Mass And Its Motion 8.3 Torque And The Two Conditions For Equilibrium 8.4 The Rotational Second Law Of Motion 8.5 Rotational Kinetic Energy 8.6 Angular Momentum Chapter Questions Section: Chapter Questions
Problem 1CQ: Why cant you put your heels firmly against a wall and then I bend over without falling? Problem 2CQ: Two point masses are the same distance R from an axis of rotation and have moments of inertia IA and... 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 6CQ: A person stands a distance R from a doors hinges and pushes with a force F directed perpendicular to... Problem 7CQ: Orbiting spacecraft contain internal gyroscopes that are used to control their orientation. (a)... 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 10CQ: An object is acted on by a single nonzero force of magnitude F. (a) Is it possible for the object to... 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 13CQ: Gravity is an example of a central force that acts along the line connecting two spherical masses.... 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: 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 2P: A worker applies a torque to a nut with a wrench 0.500 m long. Because of the cramped space, she... Problem 3P: The fishing pole in Figure P8.3 makes an angle of 20.0 with the horizontal. What is the magnitude of... Problem 4P: Find the net torque on the wheel in Figure P8.4 about the axle through O perpendicular to the page,... Problem 5P: Figure P8.4 Calculate the net torque (magnitude and direction) on the beam in Figure P8.5 about (a)... Problem 6P: A dental bracket exerts a horizontal force of 80.0 N on a tooth at point B in Figure P8.6. What is... Problem 7P: 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 8P Problem 9P Problem 10P Problem 11P Problem 12P Problem 13P Problem 14P: The Xanthar mothership locks onto an enemy cruiser with its tractor beam (Fig. P8.14); each ship is... Problem 15P Problem 16P Problem 17P: Torque and the Two Conditions for Equilibrium 17. The arm in Figure P8.17 weighs 41.5 N. The force... Problem 18P Problem 19P: 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 20P: A meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. When a 50.0-gram... Problem 21P Problem 22P: 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 23P Problem 24P: When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in... Problem 25P: A 500.-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,... Problem 26P: A window washer is standing on a scaffold supported by a vertical rope at each end. The scaffold... Problem 27P: A uniform plank of length 2.00 m and mass 30.0 kg is supported by three ropes, as indicated by the... Problem 28P: A hungry bear weighing 700. N walks out on a beam in an attempt to retrieve a basket of goodies... Problem 29P Problem 30P Problem 31P Problem 32P: Write the necessary equations of equilibrium of the object shown in Figure P8.32. Take the origin of... Problem 33P Problem 34P Problem 35P Problem 36P Problem 37P: Four objects are held in position at the corners of a rectangle by light rods as shown in Figure... Problem 38P: If the system shown in Figure P8.37 is set in rotation about each of the axes mentioned in Problem... Problem 39P: A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a... Problem 40P: An oversized yo-yo is made from two identical solid disks each of mass M = 2.00 kg and radius R =... Problem 41P: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending... Problem 42P: A potters wheel having a radius of 0.50 m and a moment of inertia of 12 kg - m2 is rotating freely... Problem 43P: 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 44P: 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 45P: A 150.-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set... Problem 46P: An Atwoods machine consists of blocks of masses m1 = 10.0 kg and m2 = 20.0 kg attached by a cord... Problem 47P: The uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to... Problem 48P: A 2.50-kg solid, uniform disk rolls without slipping across a level surface, translating at 3.75... Problem 49P: A horizontal 800.-N merry-go-round of radius 1.50 m is started from rest by a constant horizontal... Problem 50P: Four objectsa hoop, a solid cylinder, a solid sphere, and a thin, spherical shelleach have a mass of... Problem 51P: A light rod of length = 1.00 m rotates about an axis perpendicular to its length and passing... Problem 52P: 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 53P: 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 54P: A car is designed to get its energy from a rotating solid-disk flywheel with a radius of 2.00 m and... Problem 55P: 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 56P: A constant torque of 25.0 N m is applied to a grindstone whose moment of inertia is 0.130 kg m2.... Problem 57P: A 10.0-kg cylinder rolls without slipping on a rough surface. At an instant when its center of... Problem 58P: Use conservation of energy to determine the angular speed of the spool shown in Figure P8.58 after... Problem 59P: A 2.00-kg solid, uniform ball of radius 0.100 m is released from rest at point A in Figure P8.59,... Problem 60P: Each of the following objects has a radius of 0.180 m and a mass of 2.40 kg, and each rotates about... Problem 61P: A metal hoop lies on a horizontal table, free to rotate about a fixed vertical axis through its... Problem 62P: A disk of mass m is spinning freely at 6.00 rad/s when a second identical disk, initially not... Problem 63P: (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis,... Problem 64P: A 0.005 00-kg bullet traveling horizontally with a speed of 1.00 103 m/s enters an 18.0-kg door,... Problem 65P: A light, rigid rod of length = 1.00 m rotates about an axis perpendicular to its length and through... Problem 66P: Haileys comet moves about the Sun in an elliptical orbit, with its closest approach to the Sun being... Problem 67P: A student holds a spinning bicycle wheel while sitting motionless on a stool that is free to rotate... Problem 68P: A 60.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 500 kg m2... Problem 69P: A solid, horizontal cylinder of mass 10.0 kg and radius 1.00 m rotates with an angular speed of 7.00... Problem 70P: A student sits on a rotating stool holding two 3.0-kg objects. When his arms are extended... Problem 71P: The puck in Figure P8.71 has a mass of 0.120 kg. Its original distance from the center of rotation... Problem 72P: A space station shaped like a giant wheel has a radius of 100 m and a moment of inertia of 5.00 108... Problem 73P: A cylinder with moment of inertia I1 rotates with angular velocity 0 about a frictionless vertical... Problem 74P: 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 75AP: Additional Problems A typical propeller of a turbine used to generate electricity from the wind... Problem 76AP Problem 77AP Problem 78AP Problem 79AP: A uniform ladder of length L and weight w is leaning against a vertical wall. The coefficient of... Problem 80AP: Two astronauts (Fig. P8.80), each haring a mass of 75.0 kg, are connected by a 10.0-m rope of... Problem 81AP: S This is a symbolic version of problem 80. Two astronauts (Fig. P8.80), each having a mass M, are... Problem 82AP: Two window washers. Bob and Joe, are on a 3.00-m-long, 345-N scaffold supported by two cables... Problem 83AP: A 2.35-kg uniform bar of length = 1.30 m is held in a horizontal position by three vertical springs... Problem 84AP: A light rod of length 2L is free to rotate in a vertical plane about a frictionless pivot through... Problem 85AP Problem 86AP: A uniform thin rod of length L and mass M is free to rotate on a frictionless pin passing through... Problem 87AP Problem 88AP Problem 89AP: A war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now... Problem 90AP: A string is wrapped around a uniform cylinder of mass M and radius R. The cylinder is released from... Problem 91AP: The Iron Cross When a gymnast weighing 750 N executes the iron cross as in Figure lN.91a, the... Problem 92AP: In an emergency situation, a person with a broken forearm ties a strap from his hand to clip on his... Problem 93AP: 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 94AP Problem 95AP: 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 63P: (a) Calculate the angular momentum of Earth that arises from its spinning motion on its axis,...
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Concept explainers
An ice skater begins a spin in the middle of a large rink but then starts to spin faster by pulling her arms in. Which of the following
statements is true?
A. Both kinetic energy and angular momentum are conserved.
B. Impossible to determine
C. Kinetic energy increases: angular momentum is conserved.
D. Kinetic energy is conserved, angular momentum increases.
E. Both kinetic energy and angular momentum increase
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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