University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Chapter 11, Problem 72P

An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8   kg m 2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 ° with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5   kg m 2 ?

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A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5 kg · m2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4 kg · m2 and she has 2.0 s to do the flips in the air?
An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8 kg · m2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45° with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5 kg · m2 ?
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Chapter 11 Solutions

University Physics Volume 1

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. 43PCh. 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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