18th Edition

ISBN: 9781938168277

Author: William Moebs, Samuel J. Ling, Jeff Sanny

Publisher: OpenStax - Rice University

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Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth w…

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Textbook Question

Chapter 11, Problem 27P

A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is 30 ° . The coefficient of kinetic friction on the surface is 0.400. What is the angular acceleration of the solid cylinder? What is the linear 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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Chapter 11, Problem 26P

Chapter 11, Problem 28P

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Chapter 11 Solutions

University Physics Volume 1

Ch. 11 - Check Your Understanding A hollow cylinder is on...Ch. 11 - Check Your Understanding A proton spiraling around...Ch. 11 - Check Your Understanding Which has greater angular...Ch. 11 - Check Your Understanding A merry-go-round at a...Ch. 11 - Check Your Understanding A top has a precession...Ch. 11 - Can a round object released from rest at the top...Ch. 11 - A cylindrical can of radius R is rolling across a...Ch. 11 - A wheel is released from the top on an incline. Is...Ch. 11 - Which rolls down an inclined plane faster, a...Ch. 11 - A hollow sphere and a hollow cylinder of the same...

Ch. 11 - Can you assign an angular momentum to a particle...Ch. 11 - For a particle traveling in a straight line, are...Ch. 11 - Under what conditions does a rigid body have...Ch. 11 - If a particle is moving with respect to a chosen...Ch. 11 - If you know the velocity of a particle, can you...Ch. 11 - What is the purpose of the small propeller at the...Ch. 11 - Suppose a child walks from the outer edge of a...Ch. 11 - As the rope of a tethered ball winds around a...Ch. 11 - Suppose the polar ice sheets broke free and...Ch. 11 - Explain why stars spin faster when they collapse.Ch. 11 - Competitive divers pull their limbs in and curl up...Ch. 11 - Gyroscopes used in guidance systems to indicate...Ch. 11 - Earth precesses about its vertical axis with a...Ch. 11 - What is the angular velocity of a 75.0-cm-diameter...Ch. 11 - A boy rides his bicycle 2.00 km. The wheels have...Ch. 11 - If the boy on the bicycle in the preceding problem...Ch. 11 - Formula One race cars have 66-cm-diameter tires....Ch. 11 - A marble rolls down an incline at 30 from rest....Ch. 11 - Repeat the preceding problem replacing the marble...Ch. 11 - A rigid body with a cylindrical cross-section is...Ch. 11 - A yo-yo can be thought of a solid cylinder of mass...Ch. 11 - A solid cylinder of radius 10.0 cm rolls down an...Ch. 11 - A bowling ball rolls up a ramp 0.5 m high without...Ch. 11 - A 40.0-kg solid cylinder is rolling across a...Ch. 11 - A 40.0-kg solid sphere is rolling across a...Ch. 11 - A solid cylinder rolls up an incline at an angle...Ch. 11 - A solid cylindrical wheel of mass M and radius R...Ch. 11 - A hollow cylinder that is rolling without slipping...Ch. 11 - A 0.2-kg particle is travelling along the line...Ch. 11 - A bird flies overhead from where you stand at an...Ch. 11 - A Formula One race car with mass 750.0 kg is...Ch. 11 - A particle of mass 5.0 kg has position vector at a...Ch. 11 - Use the right-hand rule to determine the...Ch. 11 - Suppose the particles in the preceding problem...Ch. 11 - Two particles of equal mass travel with the same...Ch. 11 - An airplane of mass 4.0104kg flies horizontally at...Ch. 11 - At a particular instant, a 1.0-kg particle’s...Ch. 11 - Prob. 43P Ch. 11 - (a) Calculate the angular momentum of Earth in its...Ch. 11 - A boulder of mass 20 kg and radius 20 cm rolls...Ch. 11 - A satellite is spinning at 6.0 rev/s. The...Ch. 11 - A propeller consists of two blades each 3.0 m in...Ch. 11 - A pulsar is a rapidly rotating neutron star. The...Ch. 11 - The blades of a wind turbine are 30 m in length...Ch. 11 - A roller coaster has mass 3000.0 kg and needs to...Ch. 11 - A mountain biker takes a jump in a race and goes...Ch. 11 - Conservation of Angular Momentum 52.A disk of mass...Ch. 11 - The Sun’s mass is 2.01030kg , its radius is...Ch. 11 - A cylinder with rotational inertia I1=2.0kgm2...Ch. 11 - A diver off the high board imparts an initial...Ch. 11 - An Earth satellite has its apogee at 2500 km above...Ch. 11 - A Molniya orbit is a highly eccentric orbit of a...Ch. 11 - Shown below is a small particle of mass 20 g that...Ch. 11 - A bug of mass 0.020 kg is at rest on the edge of a...Ch. 11 - A uniform rod of mass 200 g and length 100 cm is...Ch. 11 - A merry-go-round has a radius of 2.0 m and a...Ch. 11 - A playground merry-go-round has a mass of 120 kg...Ch. 11 - Three children are riding on the edge of a...Ch. 11 - (a) Calculate the angular momentum of an ice...Ch. 11 - Twin skaters approach one another as shown below...Ch. 11 - A baseball catcher extends his arm straight up to...Ch. 11 - In 2015, in Warsaw, Poland, Olivia Oliver of Nova...Ch. 11 - A satellite in a geosynchronous circular orbit is...Ch. 11 - A gymnast does cartwheels along the floor and then...Ch. 11 - The centrifuge at NASA Ames Research Center has a...Ch. 11 - A ride at a carnival has four spokes to which pods...Ch. 11 - An ice skater is preparing for a jump with turns...Ch. 11 - A space station consists of a giant rotating...Ch. 11 - Neptune has a mass of 1.01026kg and is 4.5109km...Ch. 11 - A gyroscope has a 0.5-kg disk that spins at 40...Ch. 11 - The precession angular velocity of a gyroscope is...Ch. 11 - The axis of Earth makes a 23.5 angle with a...Ch. 11 - A marble is rolling across the floor at a speed of...Ch. 11 - Repeat the preceding problem replacing the marble...Ch. 11 - The mass of a hoop of radius 1.0 m is 6.0 kg. It...Ch. 11 - Repeat the preceding problem for a hollow sphere...Ch. 11 - A particle has mass 0.5 kg and is traveling along...Ch. 11 - A 4.0-kg particle moves in a circle of radius 2.0...Ch. 11 - A proton is accelerated in a cyclotron to...Ch. 11 - (a) What is the angular momentum of the Moon in...Ch. 11 - A DVD is rotating at 500 rpm. What is the angular...Ch. 11 - A potter’s disk spins from rest up to 10 rev/s in...Ch. 11 - Suppose you start an antique car by exerting a...Ch. 11 - A solid cylinder of mass 2.0 kg and radius 20 cm...Ch. 11 - A boy stands at the center of a platform that is...Ch. 11 - Eight children each of mass 40 kg, climb on a...Ch. 11 - A thin meter stick of mass 150 g rotates around an...Ch. 11 - A satellite in the shape of a sphere of mass...Ch. 11 - A top has moment of inertia 3.2104kgm2 and radius...Ch. 11 - The truck shown below is initially at rest with...Ch. 11 - A bowling ball of radius 8.5 cm is tossed onto a...Ch. 11 - A small ball of mass 0.50 kg is attached by a...Ch. 11 - A bug flying horizontally at 1.0 m/s collides and...

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