1 Introduction, Measurement, Estimating 2 Describing Motion: Kinematics In One Dimension 3 Kinematics In Two Or Three Dimensions; Vectors 4 Dynamics: Newton's Laws Of Motion 5 Using Newton's Laws: Friction, Circular Motion, Drag Forces 6 Gravitation And Newton's Synthesis 7 Work And Energy 8 Conservation Of Energy 9 Linear Momentum 10 Rotational Motion 11 Augular Momentum; General Rotation 12 Static Equilibrium; Elasticity And Fracture 13 Fluids 14 Oscillations 15 Wave Motion 16 Sound 17 Temperature, Thermal Expansion And The Ideal Gas Law 18 Kinetic Theory Of Gases 19 Heat And The First Law Of Thermodynamics 20 Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss's Law 23 Electric Potential 24 Capacitance, Dielectrics, Electric Energy Storage 25 Electric Currents And Resistance 26 Dc Circuits 27 Magnetism 28 Sources Of Magnetic Field 29 Electromagnetic Induction And Faraday's Law 30 Inductance, Electromagnetic Oscillations, And Ac Circuits 31 Maxwell's Equation And Electromagnetic Waves 32 Light: Reflection And Refraction 33 Lenses And Optical Instruments 34 The Wave Nature Of Light: Interference And Polarixation 35 Diffraction 36 The Special Theory Of Relativity 37 Early Quantum Theory And Models Of The Atom 38 Quantum Mechanics 39 Quantum Mechanics Of Atoms 40 Molecules And Solids 41 Nuclear Physics And Radioactivity 42 Nuclear Energy; Effects And Uses Of Radiation 43 Elementary Particles 44 Astrophysics And Cosmology expand_more
11.1 Angular Momentum—objects Rotating About A Fixed Axis 11.2 Vector Cross Product; Torque As A Vector 11.3 Angular Momentum Of A Particle 11.4 Angular Momentum And Torque For A System Of Particles; General Motion 11.5 Angular Momentum And Torque For A Rigid Object 11.6 Conservation Of Angular Momentum 11.7 The Spinning Top And Gyroscope 11.8 Rotating Frames Of Reference; Inertial Forces 11.9 The Coriolis Effect Chapter Questions expand_more
Problem 1Q: Can the diver of Fig. 112 do a somersault without having any initial rotation when she leaves the... Problem 2Q: When a motorcyclist leaves the ground on a jump and leaves the throttle on (so the rear wheel... Problem 3Q: Suppose you are sitting on a rotating stool holding a 2-kg mass in each outstretched hand. If you... Problem 4Q Problem 5Q: A shortstop may leap into the air to catch a ball and throw it quickly. As he throws the ball, the... Problem 6Q: If all the components of the vectors V1 and V2 were reversed in direction, how would this alter... Problem 7Q: A force F=Fj is applied to an object at a position r=xi+yj+zk where the origin is at the CM. Does... Problem 8Q: A particle moves with constant speed along a straight line. How does its angular momentum,... Problem 9Q: If the net force on a system is zero, is the net torque also zero? If the net torque on a system is... Problem 10Q: Explain how a child pumps on a swing to make it go higher. Problem 11Q: Describe the torque needed if the person in Fig. 1117 is to tilt the axle of the rotating wheel... Problem 12Q: An astronaut floats freely in a weightless environment. Describe how the astronaut can move her... Problem 13Q: On the basis of the law of conservation of angular momentum, discuss why a helicopter must have more... Problem 14Q: A wheel is rotating freely about a vertical axis with constant angular velocity. Small parts of the... Problem 15Q: Consider the following vector quantities: displacement, velocity, acceleration, momentum, angular... Problem 16Q: How does a car make a right turn? Where does the torque come from that is needed to change the... Problem 17Q: In a rotating frame of reference. Newtons first and second laws remain useful if we assume that a... Problem 18Q: Why is it that at most locations on the Earth, a plumb bob does not hang precisely in the direction... Problem 19Q: In the battle of the Falkland Islands in 1914, the shots of British gunners initially fell wide of... Problem 1MCQ Problem 2MCQ Problem 3MCQ Problem 4MCQ Problem 5MCQ Problem 6MCQ Problem 7MCQ Problem 8MCQ Problem 9MCQ Problem 10MCQ Problem 11MCQ Problem 1P Problem 2P Problem 3P: (II) A nonrotating cylindrical disk of moment of inertia I isdropped onto an identical disk rotating... Problem 4P: (II) A diver (such as the one shown in Fig. 112) can reduceher moment of inertia by a factor of... Problem 5P Problem 6P Problem 7P Problem 8P Problem 9P Problem 10P: (II) A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0... Problem 11P: (II) A person stands on a platform, initially at rest, that can rotate freely without friction. The... Problem 12P Problem 13P Problem 14P: (II) A woman of mass m stands at the edge of a solidcylindrical platform of mass M and radius R. At... Problem 15P Problem 16P Problem 17P: (II) A uniform horizontal rod of mass M and length rotateswith angular velocity about a vertical... Problem 18P: (II) Suppose our Sun eventually collapses into a white dwarf, losing about half its mass in the... Problem 19P: (III) Hurricanes can involve winds in excess of 120 km/h at the outer edge. Make a crude estimate of... Problem 20P Problem 21P Problem 22P: (I) If vector A points along the negative x axis and vector B along the positive z axis, what is the... Problem 23P: (I) Show that (a) i i = j j = k k = 0. (b) i j = k, ik=j, and jk=i. Problem 24P: (I) The directions of vectors A and B are given below for several cases. For each case, state the... Problem 25P: (II) What is the angle between two vectorsA and B, if |AB|=AB? Problem 26P Problem 27P: (II) Consider a particle of a rigid object rotating about a fixed axis. Show that the tangential and... Problem 28P Problem 29P Problem 30P: (II) An engineer estimates that under the most adverse expected weather conditions, the total force... Problem 31P Problem 32P Problem 33P Problem 34P: (I) What are the x, y, and z components of the angular momentum of a particle located at r=xi+yj+zk... Problem 35P: (I) Show that the kinetic energy K of a particle of mass m, moving in a circular path, is K = L2/2I,... Problem 36P: (I) Calculate the angular momentum of a particle of mass m moving with constant velocity v for two... Problem 37P: (II) Two identical particles have equal but opposite momenta, p and p, but they are not traveling... Problem 38P Problem 39P Problem 40P Problem 41P: (II) Four identical particles of mass m are mounted at equal intervals on a thin rod of length and... Problem 42P: (II) Two lightweight rods 24 cm in length are mounted perpendicular to an axle and at 180 to each... Problem 43P: (II) Figure 1135 shows two masses connected by a cord passing over a pulley of radius R0 and moment... Problem 44P: (III) Show that the total angular momentum L=ripi of a system of particles about the origin of an... Problem 45P Problem 46P Problem 47P: (II) A thin rod of mass M and length is suspended vertically from a frictionless pivot at its upper... Problem 48P Problem 49P Problem 50P Problem 51P Problem 52P: (III) A thin rod of mass M and length rests on a frictionless table and is struck at a point /4... Problem 53P: (III) On a level billiards table a cue ball, initially at rest at point O on the table, is struck so... Problem 54P Problem 55P: (II) A toy gyroscope consists of a 170-g disk with a radius of 5.5 cm mounted at the center of a... Problem 56P Problem 57P Problem 58P Problem 59P Problem 60P Problem 61P Problem 62P: (II) Suppose the man at B in Fig. 1126 throws the ball toward the woman at A. (a) In what direction... Problem 63P: (II) For what directions of velocity would the Coriolis effect on an object moving at the Earths... Problem 64P: (III) We can alter Eqs. 1114 and 1115 for use on Earth by considering only the component of v... Problem 65P: (III) An ant crawls with constant speed outward along a radial spoke of a wheel rotating at constant... Problem 66GP: A thin string is wrapped around a cylindrical hoop of radius R and mass M. One end of the string is... Problem 67GP Problem 68GP Problem 69GP: Why might tall narrow SUVs and buses be prone to rollover? Consider a vehicle rounding a curve of... Problem 70GP: A projectile with mass m is launched from the ground and follows a trajectory given by... Problem 71GP Problem 72GP Problem 73GP Problem 74GP Problem 75GP Problem 76GP Problem 77GP Problem 78GP Problem 79GP: A particle of mass m uniformly accelerates as counterclockwise along the circumference of a circle... Problem 80GP Problem 81GP: Most of our Solar Systems mass is contained in the Sun, and the planets possess almost all of the... Problem 82GP: Competitive ice skaters commonly perform single, double, and triple axel jumps in which they rotate... Problem 83GP Problem 84GP Problem 85GP: A baseball bat has a sweet spot where a ball can be hit with almost effortless transmission of... Problem 86GP format_list_bulleted