University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 11, Problem 24P
Repeat the preceding problem replacing the marble with a solid cylinder. Explain the new result.
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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. 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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- Repeat the preceding problem replacing the marble with a hollow sphere. Explain the new results.arrow_forwardRepeat the preceding problem for a hollow sphere of the same radius and mass and initial speed. Explain the differences in the results.arrow_forwardConsider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the magnitude ofeach torque exerted around the center of the disk. FIGURE P12.71 Problems 71-75arrow_forward
- A solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical?arrow_forwardFind the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23arrow_forwardThree objects of uniform densitya solid sphere, a solid cylinder, and a hollow cylinderare placed at the top of an incline (Fig. CQ10.9). They are all released from rest at the same elevation and roll without slipping. (a) Which object reaches the bottom first? (b) Which reaches it last? Note: The result is independent of the masses and the radii of the objects. (Try this activity at home!) Figure CQ10.9arrow_forward
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- In Figure P10.40, the hanging object has a mass of m1 = 0.420 kg; the sliding block has a mass of m2 = 0.850 kg; and the pulley is a hollow cylinder with a mass of M = 0.350 kg, an inner radius of R1 = 0.020 0 m, and an outer radius of R2 = 0.030 0 m. Assume the mass of the spokes is negligible. The coefficient of kinetic friction between the block and the horizontal surface is k = 0.250. The pulley turns without friction on its axle. The light cord does not stretch and does not slip on the pulley. The block has a velocity of vi = 0.820 m/s toward the pulley when it passes a reference point on the table. (a) Use energy methods to predict its speed after it has moved to a second point, 0.700 m away. (b) Find the angular speed of the pulley at the same moment. Figure P10.40arrow_forwardA boy rides his bicycle 2.00 km. The wheels have radius 30.0 cm. What is the total angle the tires rotate through during his trip?arrow_forwardA uniform beam resting on two pivots has a length L = 6.00 m and mass M = 90.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot located a distance = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 55.0 kg steps onto the left end of the beam and begins walking to the right as in Figure P10.28. The goal is to find the womans position when the beam begins to tip. (a) What is the appropriate analysis model for the beam before it begins to tip? (b) Sketch a force diagram for the beam, labeling the gravitational and normal forces acting on the beam and placing the woman a distance x to the right of the first pivot, which is the origin. (c) Where is the woman when the normal force n1 is the greatest? (d) What is n1 when the beam is about to tip? (e) Use Equation 10.27 to find the value of n2 when the beam is about to tip. (f) Using the result of part (d) and Equation 10.28, with torques computed around the second pivot, find the womans position x when the beam is about to tip. (g) Check the answer to part (e) by computing torques around the first pivot point. Figure P10.28arrow_forward
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