University Physics Volume 1 18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: William Moebs, Samuel J. Ling, Jeff Sanny
1 Units And Measurement 2 Vectors 3 Motion Along A Straight Line 4 Motion In Two And Three Dimensions 5 Newton's Law Of Motion 6 Applications Of Newton's Laws 7 Work And Kinetic Energy 8 Potential Energy And Conservation Of Energy 9 Linear Momentum And Collisions 10 Fixed-axis Rotation 11 Angular Momentum 12 Static Equilibrium And Elasticity 13 Gravitation 14 Fluid Mechanics 15 Oscillations 16 Waves 17 Sound Chapter11: Angular Momentum
Chapter Questions Section: Chapter Questions
Problem 11.1CYU: Check Your Understanding A hollow cylinder is on an incline at an angle of 60 . The coefficient of... Problem 11.2CYU: Check Your Understanding A proton spiraling around a magnetic field executes circular motion in the... Problem 11.3CYU: Check Your Understanding Which has greater angular momentum: a solid sphere of mass m rotating at a... Problem 11.4CYU: Check Your Understanding A merry-go-round at a playground is rotating at 4.0 rev/min. Three children... Problem 11.5CYU: Check Your Understanding A top has a precession frequency of 5.0 rad/s on Earth. What is its... Problem 1CQ: Can a round object released from rest at the top of a frictionless incline undergo rolling motion? Problem 2CQ: A cylindrical can of radius R is rolling across a horizontal surface without slipping. (a) After one... Problem 3CQ: A wheel is released from the top on an incline. Is the wheel most likely to slip if the incline is... Problem 4CQ: Which rolls down an inclined plane faster, a hollow cylinder or a solid sphere? Both have the same... Problem 5CQ: A hollow sphere and a hollow cylinder of the same radius and mass roll up an incline without... Problem 6CQ: Can you assign an angular momentum to a particle without first defining a reference point? Problem 7CQ: For a particle traveling in a straight line, are there any points about which the angular momentum... Problem 8CQ: Under what conditions does a rigid body have angular momentum but not linear momentum? Problem 9CQ: If a particle is moving with respect to a chosen origin it has linear momentum. What conditions must... Problem 10CQ: If you know the velocity of a particle, can you say anything about the particle’s angular momentum? Problem 11CQ: What is the purpose of the small propeller at the back of a helicopter that rotates in the plane... Problem 12CQ: Suppose a child walks from the outer edge of a rotating merry-go-round to the inside. Does the... Problem 13CQ: As the rope of a tethered ball winds around a pole, what happens to the angular velocity of the... Problem 14CQ: Suppose the polar ice sheets broke free and floated toward Earth’s equator without melting. What... Problem 15CQ: Explain why stars spin faster when they collapse. Problem 16CQ: Competitive divers pull their limbs in and curl up their bodies when they do flips. Just before... Problem 17CQ: Gyroscopes used in guidance systems to indicate directions in space must have an angular momentum... Problem 18CQ: Earth precesses about its vertical axis with a period of 26,000 years. Discuss whether Equation... Problem 19P: What is the angular velocity of a 75.0-cm-diameter tire on an automobile traveling at 90.0 km/h? Problem 20P: A boy rides his bicycle 2.00 km. The wheels have radius 30.0 cm. What is the total angle the tires... Problem 21P: If the boy on the bicycle in the preceding problem accelerates from rest to a speed of 10.0 m/s in... Problem 22P: Formula One race cars have 66-cm-diameter tires. If a Formula One averages a speed of 300 km/h... Problem 23P: A marble rolls down an incline at 30 from rest. (a) What is its acceleration? (b) How far does it go... Problem 24P: Repeat the preceding problem replacing the marble with a solid cylinder. Explain the new result. Problem 25P: A rigid body with a cylindrical cross-section is released from the top of a 30 incline. It rolls... Problem 26P: A yo-yo can be thought of a solid cylinder of mass m and radius r that has a light string wrapped... Problem 27P: A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is... Problem 28P: A bowling ball rolls up a ramp 0.5 m high without slipping to storage. It has an initial velocity of... Problem 29P: A 40.0-kg solid cylinder is rolling across a horizontal surface at a speed of 6.0 m/s. How much work... Problem 30P: A 40.0-kg solid sphere is rolling across a horizontal surface with a speed of 6.0 m/s. How much work... Problem 31P: A solid cylinder rolls up an incline at an angle of 20 . If it starts at the bottom with a speed of... Problem 32P: A solid cylindrical wheel of mass M and radius R is pulled by a force applied to the center of the... Problem 33P: A hollow cylinder that is rolling without slipping is given a velocity of 5.0 m/s and rolls up an... Problem 34P: A 0.2-kg particle is travelling along the line y=2.0m with a velocity 5.0 m/s. What is the angular... Problem 35P: A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to... Problem 36P: A Formula One race car with mass 750.0 kg is speeding through a course in Monaco and enters a... Problem 37P: A particle of mass 5.0 kg has position vector at a particular instant of time when its velocity is... Problem 38P: Use the right-hand rule to determine the directions of the angular momenta about the origin of the... Problem 39P: Suppose the particles in the preceding problem have masses m1=0.10kg , m2=0.20kg , m3=0.30kg ,... Problem 40P: Two particles of equal mass travel with the same speed in opposite directions along parallel lines... Problem 41P: An airplane of mass 4.0104kg flies horizontally at an altitude of 10 km with a constant speed of 250... Problem 42P: At a particular instant, a 1.0-kg particle’s position is , its velocity is , and the force on it is... Problem 43P Problem 44P: (a) Calculate the angular momentum of Earth in its orbit around the Sun. (b) Compare this angular... Problem 45P: A boulder of mass 20 kg and radius 20 cm rolls down a hill 15 m high from rest. What is its angular... Problem 46P: A satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere... Problem 47P: A propeller consists of two blades each 3.0 m in length and mass 120 kg each. The propeller can be... Problem 48P: A pulsar is a rapidly rotating neutron star. The Crab nebula pulsar in the constellation Taurus has... Problem 49P: The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min.... Problem 50P: A roller coaster has mass 3000.0 kg and needs to make it safely through a vertical circular loop of... Problem 51P: A mountain biker takes a jump in a race and goes airborne. The mountain bike is travelling at 10.0... Problem 52P: Conservation of Angular Momentum 52.A disk of mass 2.0 kg and radius 60 cm with a small mass of 0.05... Problem 53P: The Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of... Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its... Problem 55P: A diver off the high board imparts an initial rotation with his body fully extended before going... Problem 56P: An Earth satellite has its apogee at 2500 km above the surface of Earth and perigee at 500 km above... Problem 57P: A Molniya orbit is a highly eccentric orbit of a communication satellite so as to provide continuous... Problem 58P: Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides... Problem 59P: A bug of mass 0.020 kg is at rest on the edge of a solid cylindrical disk (M=0.10kg,R=0.10m)... Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed... Problem 61P: A merry-go-round has a radius of 2.0 m and a moment of inertia 300kgm2 . A boy of mass 50 kg runs... Problem 62P: A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an... Problem 63P: Three children are riding on the edge of a merry-go-round that is 100 kg, has a 1.60-m radius, and... Problem 64P: (a) Calculate the angular momentum of an ice skater spinning at 6.00 rev/s given his moment of... Problem 65P: Twin skaters approach one another as shown below and lock hands. (a) Calculate their final angular... Problem 66P: A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The... Problem 67P: In 2015, in Warsaw, Poland, Olivia Oliver of Nova Scotia broke the world record for being the... Problem 68P: A satellite in a geosynchronous circular orbit is 42,164.0 km from the center of Earth. A small... Problem 69P: A gymnast does cartwheels along the floor and then launches herself into the air and executes... Problem 70P: The centrifuge at NASA Ames Research Center has a radius of 8.8 m and can produce farces on its... Problem 71P: A ride at a carnival has four spokes to which pods are attached that can hold two people. The spokes... Problem 72P: An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is... Problem 73P: A space station consists of a giant rotating hollow cylinder of mass 106kg including people on the... Problem 74P: Neptune has a mass of 1.01026kg and is 4.5109km from the Sun with an orbital period of 165 years.... Problem 75P: A gyroscope has a 0.5-kg disk that spins at 40 rev/s. The center of mass of the disk is 10 cm from a... Problem 76P: The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4... Problem 77P: The axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit.... Problem 78AP: A marble is rolling across the floor at a speed of 7.0 m/s when it starts up a plane inclined at 30... Problem 79AP: Repeat the preceding problem replacing the marble with a hollow sphere. Explain the new results. Problem 80AP: The mass of a hoop of radius 1.0 m is 6.0 kg. It rolls across a horizontal surface with a speed of... Problem 81AP: Repeat the preceding problem for a hollow sphere of the same radius and mass and initial speed.... Problem 82AP: A particle has mass 0.5 kg and is traveling along the line x=5.0m at 2.0 m/s In the positive... Problem 83AP: A 4.0-kg particle moves in a circle of radius 2.0 m. The angular momentum of the particle varies in... Problem 84AP: A proton is accelerated in a cyclotron to 5.0106m/s in 0.01 s. The proton follows a circular path.... Problem 85AP: (a) What is the angular momentum of the Moon in its orbit around Earth? (b) How does this angular... Problem 86AP: A DVD is rotating at 500 rpm. What is the angular momentum of the DVD if has a radius of 6.0 cm and... Problem 87AP: A potter’s disk spins from rest up to 10 rev/s in 15 s. The disk has a mass 3.0 kg and radius 30.0... Problem 88AP: Suppose you start an antique car by exerting a force of 300 N on its crank for 0.250 s. What is the... Problem 89AP: A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis... Problem 90AP: A boy stands at the center of a platform that is rotating without friction at 1.0 rev/s. The boy... Problem 91AP: Eight children each of mass 40 kg, climb on a small merry-go-round. They position themselves evenly... Problem 92AP: A thin meter stick of mass 150 g rotates around an axis perpendicular to the stick’s long axis at an... Problem 93AP: A satellite in the shape of a sphere of mass 20,000 kg and radius 5.0 m is spinning about an axis... Problem 94AP: A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point.... Problem 95CP: The truck shown below is initially at rest with solid cylindrical roll of paper sitting on its bed.... Problem 96CP: A bowling ball of radius 8.5 cm is tossed onto a bowling lane with speed 9.0 m/s. The direction of... Problem 97CP: A small ball of mass 0.50 kg is attached by a massless sting to a vertical rod that Is spinning as... Problem 98CP: A bug flying horizontally at 1.0 m/s collides and sticks to the end of a uniform stick hanging... Problem 72P: An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is...
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(III) A hammer thrower accelerates the hammer (mass =7.30 kg)angular velocity and a horizontal circularangular acceleration ,
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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