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 Rotationalmotion 11 Angular 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 35 Diffraction And Polarization 36 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 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: If there were a great migration of people toward the Earths equator, would the length of the day (a)... Problem 2Q: Can the diver of Fig. 112 do a somersault without having any initial rotation when she leaves the... Problem 3Q: Suppose you are sitting on a rotating stool holding a 2-kg mass in each outstretched hand. If you... Problem 4Q: When a motorcyclist leaves the ground on a jump and leaves the throttle on (so the rear wheel... Problem 5Q: Suppose you are standing on the edge of a large freely rotating turntable. What happens if you walk... Problem 6Q: A shortstop may leap into the air to catch a ball and throw it quickly. As he throws the ball, the... Problem 7Q: If all the components of the vectors V1 and V2 were reversed in direction, how would this alter... Problem 8Q: Name the four different conditions that could make V1V2=0. Problem 9Q: 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 10Q: A particle moves with constant speed along a straight line. How does its angular momentum,... Problem 11Q: If the net force on a system is zero, is the net torque also zero? If the net torque on a system is... Problem 12Q: Explain how a child pumps on a swing to make it go higher. Problem 13Q: Describe the torque needed if the person in Fig. 1117 is to tilt the axle of the rotating wheel... Problem 14Q: An astronaut floats freely in a weightless environment. Describe how the astronaut can move her... Problem 15Q: On the basis of the law of conservation of angular momentum, discuss why a helicopter must have more... Problem 16Q: A wheel is rotating freely about a vertical axis with constant angular velocity. Small parts of the... Problem 17Q: Consider the following vector quantities: displacement, velocity, acceleration, momentum, angular... Problem 18Q: How does a car make a right turn? Where does the torque come from that is needed to change the... Problem 19Q: The axis of the Earth processes with a period of about 25,000 years. This is much like the... Problem 20Q: Why is it that at most locations on the Earth, a plumb bob does not hang precisely in the direction... Problem 21Q: In a rotating frame of reference. Newtons first and second laws remain useful if we assume that a... Problem 22Q: In the battle of the Falkland Islands in 1914, the shots of British gunners initially fell wide of... Problem 1P: Wha is the anugular momentum of a 0.210-kg ball roataing on the end of a thin string in a circle of... Problem 2P: (I) (a) What is the angular momentum of a 2.8-kg uniform cylindrical grinding wheel of radius 18 cm... Problem 3P: (II) A person stands, hands at his side, on a platform that is rotating at a rate of 0.90rev/s. If... Problem 4P: (II) A figure skater can increase her spin rotation rate froman initial rate of 1.0 rev every 1.5 s... Problem 5P: (II) A diver (such as the one shown in Fig. 112) can reduceher moment of inertia by a factor of... Problem 6P: (II) A uniform horizontal rod of mass M and length rotateswith angular velocity about a vertical... Problem 7P: (II) Determine the angular momentum of the Earth(a) about its rotation axis (assume the Earth is a... Problem 8P: (II) (a) What is the angular momentum of a figure skaterspinning at 2.8 rev/s with arms in close to... Problem 9P: (II) A person stands on a platform, initially at rest, that can rotate freely without friction. The... Problem 10P: (II) A uniform disk turns at 3.7 rev/s around a frictionless spindle. A nonrotating rod, of the same... Problem 11P: (II) A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3.0... Problem 12P: (II) A potters wheel is rotating around a vertical axisthrough its center at a frequency of 1.5... Problem 13P: (II) A 4.2-m-diameter merry-go-round is rotating freely withan angular velocity of 0.80 rad/s. Its... 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: (II) A nonrotating cylindrical disk of moment of inertia I isdropped onto an identical disk rotating... Problem 16P: (II) Suppose our Sun eventually collapses into a white dwarf, losing about half its mass in the... Problem 17P: (III) Hurricanes can involve winds in excess of 120 km/h at the outer edge. Make a crude estimate of... Problem 18P: (III) An asteroid of mass 1.0 105 kg, traveling at a speed of 35 km/s relative to the Earth, hits... Problem 19P: (III) Suppose a 65-kg person stands at the edge of a 6.5-m diameter merry-go-round turntable that is... Problem 20P: (I) If vector A points along the negative x axis and vector B along the positive z axis, what is the... Problem 21P: (I) Show that (a) i i = j j = k k = 0. (b) i j = k, ik=j, and jk=i. Problem 22P: (I) The directions of vectors A and B are given below for several cases. For each case, state the... Problem 23P: (II) What is the angle between two vectorsA and B, if |AB|=AB? Problem 24P: (II) A particle is located at r=(4.0i+3.5j+6.0k)m. A force F=(9.0i4.0k)N acts on it. What is the... Problem 25P: (II) Consider a particle of a rigid object rotating about a fixed axis. Show that the tangential and... Problem 26P: (II) (a) Show that the cross product of two vectors, A=Axi+Ayj+Azk, and B=Bxi+Byj+Bzkis... Problem 27P: (II) An engineer estimates that under the most adverse expected weather conditions, the total force... Problem 28P: (II) The origin of a coordinate system is at the center of a wheel which rotates in the xy plane... Problem 29P: (II) Use the result of Problem 26 to determine (a) the vector product AB and (b) the angle between A... Problem 30P: (III) Show that the velocity v of any point in an object rotating with angular velocity about a... Problem 31P: (III) Let A,B, and Cbe three vectors, which for generality we assume do not all lie in the same... Problem 32P: (I) What are the x, y, and z components of the angular momentum of a particle located at r=xi+yj+zk... Problem 33P: (I) Show that the kinetic energy K of a particle of mass m, moving in a circular path, is K = L2/2I,... Problem 34P: (I) Calculate the angular momentum of a particle of mass m moving with constant velocity v for two... Problem 35P: (II) Two identical particles have equal but opposite momenta, p and p, but they are not traveling... Problem 36P: (II) Determine the angular momentum of a 75-g particle about the origin of coordinates when the... Problem 37P: (II) A particle is at the position (x, y, z) = (1.0, 2.0, 3.0) m. It is traveling with a vector... Problem 38P Problem 39P: (II) Four identical particles of mass m are mounted at equal intervals on a thin rod of length and... Problem 40P: (II) Two lightweight rods 24 cm in length are mounted perpendicular to an axle and at 180 to each... Problem 41P: (II) Figure 1135 shows two masses connected by a cord passing over a pulley of radius R0 and moment... Problem 42P: (III) A thin rod of length and mass M rotates about a vertical axis through its center with angular... Problem 43P: (III) Show that the total angular momentum L=ripi of a system of particles about the origin of an... Problem 44P: (III) What is the magnitude of the force F exerted by each bearing in Fig. 1118 (Example 1110)? The... 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: (II) A uniform stick 1.0 m long with a total mass of 270 g is pivoted at its center. A 3.0-g bullet... Problem 49P: (II) Suppose a 5.8 1010 kg meteorite struck the Earth at the equator with a speed v = 2.2 104 m/s,... Problem 50P: (III) A 230-kg beam 2.7 m in length slides broadside down the ice with a speed of 18 m/s (Fig.... Problem 51P: (III) A thin rod of mass M and length rests on a frictionless table and is struck at a point /4... Problem 52P: (III) On a level billiards table a cue ball, initially at rest at point O on the table, is struck so... Problem 53P: (II) A 220-g top spinning at 15 rev/s makes an angle of 25 to the vertical and precesses at a rate... Problem 54P: (II) A toy gyroscope consists of a 170-g disk with a radius of 5.5 cm mounted at the center of a... Problem 55P Problem 56P Problem 57P: (II) A bicycle wheel of diameter 65 cm and mass m rotates on its axle; two 20-cm-long wooden... Problem 58P Problem 59P Problem 60P: (II) Suppose the man at B in Fig. 1126 throws the ball toward the woman at A. (a) In what direction... Problem 61P: (II) For what directions of velocity would the Coriolis effect on an object moving at the Earths... Problem 62P: (III) We can alter Eqs. 1114 and 1115 for use on Earth by considering only the component of v... Problem 63P: (III) An ant crawls with constant speed outward along a radial spoke of a wheel rotating at constant... Problem 64GP: A thin string is wrapped around a cylindrical hoop of radius R and mass M. One end of the string is... Problem 65GP: A particle of mass 1.00 kg is moving with velocity v=(7.0i+6.0j)m/s. (a) Find the angular momentum L... Problem 66GP: A merry-go-round with a moment of inertia equal to 1260 kgm2 and a radius of 2.5 m rotates with... Problem 67GP: Why might tall narrow SUVs and buses be prone to rollover? Consider a vehicle rounding a curve of... Problem 68GP: A spherical asteroid with radius r = 123 m and mass M = 2.25 1010 kg rotates about an axis at four... Problem 69GP Problem 70GP: The position of a particle with mass m traveling on a helical path (see Fig. 1145) is given by... Problem 71GP: A boy rolls a tire along a straight level street. The tire has mass 8.0 kg, radius 0.32 m and moment... Problem 72GP: A 70 kg person stands on a tiny rotating platform with arms outstretched. (a) Estimate the moment of... Problem 73GP: Water drives a waterwheel (or turbine) of radius R = 3.0 m as shown in Fig. 1147. The water enters... Problem 74GP: The Moon orbits the Earth such that the same side always faces the Earth. Determine the ratio of the... Problem 75GP: A particle of mass m uniformly accelerates as counterclockwise along the circumference of a circle... Problem 76GP: A projectile with mass m is launched from the ground and follows a trajectory given by... Problem 77GP: Most of our Solar Systems mass is contained in the Sun, and the planets possess almost all of the... Problem 78GP Problem 79GP: Competitive ice skaters commonly perform single, double, and triple axel jumps in which they rotate... Problem 80GP: A radio transmission tower has a mass of 80 kg and is 12 m high. The tower is anchored to the ground... Problem 81GP: Suppose a star the size of our Sun, but with mass 8.0 times as great, were rotating at a speed of... Problem 82GP: A baseball bat has a sweet spot where a ball can be hit with almost effortless transmission of... Problem 83GP: (II) A uniform stick 1.00 m long with a total mass of 330 g is pivoted at its center. A 3.0-g bullet... format_list_bulleted