Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 11, Problem 11.42P
Section 11.5 The Motion of Gyroscopes and Tops
A spacecraft is in empty space. It carries on board gyroscope with a moment of inertia of Ig = 20.0 kg·m2 about the axis of the gyroscope. The moment of inertia of the spacecraft around the same axis is Is = 5.00 X 105 kg·m2. Neither the spacecraft nor the gyroscope is originally rotating. The gyroscope can be powered up in a negligible period of time to an angular speed of 100 rad/s. If the orientation of the spacecraft is to be changed by 30.0°, for what time interval should the gyroscope be operated?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A uniform solid cylindrical log begins rolling without slipping down a ramp that rises 28.0° abovethe horizontal. After it has rolled 4.20 m along the ramp, what is the magnitude of the linearacceleration of its center of mass?A) 4.60 m/s2 B) 3.07 m/s2 C) 9.80 m/s2 D) 3.29 m/s2 E) 2.30 m/s2
A small stone with mass m1 = 4 kg is glued at distance r1 = 0.4 m from the center of a uniform plate with mass m2 = 4 kg, radius r2 = 1.4 m.
The system is rotating around the center of the plate. Find the total moment of inertia of the system. Answer in [kg m2]
consider the system of particles that are connected by rigid rods of neglible mass. if the system will rotate along an axis that will pass through the m1 and m2 particles (left side vertical ) with an angular speed of 9 rev/s, find the moment of inertia of the system. (m1= 6kg; m2= 2kg; m3= 11 kg; a=2 m and b=5 m)
Chapter 11 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 11 - Which of the following statements about the...Ch. 11 - Recall the skater described at the beginning of...Ch. 11 - A solid sphere and a hollow sphere have the same...Ch. 11 - A competitive diver leaves the diving board and...Ch. 11 - An ice skater starts a spin with her arms...Ch. 11 - A pet mouse sleeps near the eastern edge of a...Ch. 11 - Let us name three perpendicular directions as...Ch. 11 - Let the four compass directions north, east,...Ch. 11 - Answer yes or no 10 (he following questions, (a)...Ch. 11 - Prob. 11.6OQ
Ch. 11 - Two ponies of equal mass are initially at...Ch. 11 - Consider an isolated system moving through empty...Ch. 11 - Stars originate as large bodies of slowly rotating...Ch. 11 - A scientist arriving at a hotel asks a bellhop to...Ch. 11 - Prob. 11.3CQCh. 11 - Two children are playing with a roll of paper...Ch. 11 - Both torque and work are products of force and...Ch. 11 - In some motorcycle races, the riders drive over...Ch. 11 - If the torque acting on a particle about an axis...Ch. 11 - A ball is thrown in such a way that it does not...Ch. 11 - If global warming continues over the next one...Ch. 11 - A cat usually lands on its feet regardless of the...Ch. 11 - Prob. 11.11CQCh. 11 - Prob. 11.1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - Prob. 11.3PCh. 11 - Use the definition of the vector product and the...Ch. 11 - Calculate the net torque (magnitude and direction)...Ch. 11 - Prob. 11.6PCh. 11 - If AB=AB, what is the angle between A and B?Ch. 11 - A particle is located at a point described by the...Ch. 11 - Two forces F1 and F2 act along the two sides of an...Ch. 11 - Prob. 11.10PCh. 11 - A light, rigid rod of length l = 1.00 m joins two...Ch. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - A particle of mass m moves in the xy plane with a...Ch. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Review. A conical pendulum consists of a bob of...Ch. 11 - A particle of mass m moves in a circle of radius R...Ch. 11 - A counterweight of mass m = 4.00 kg is attached to...Ch. 11 - The position vector of a particle of mass 2.00 kg...Ch. 11 - A 5.00-kg particle starts from the origin at time...Ch. 11 - A ball having mass m is fastened at the end of a...Ch. 11 - A uniform solid sphere of radius r = 0.500 m and...Ch. 11 - Big Ben (Fig. P10.27, page 281), the Parliament...Ch. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Model the Earth as a uniform sphere. (a) Calculate...Ch. 11 - Prob. 11.27PCh. 11 - The distance between the centers of the wheels of...Ch. 11 - A space station is coast me ted in the shape of a...Ch. 11 - A disk with moment of inertia I1 rotates about a...Ch. 11 - A playground merry-go-round of radius R = 2.00 m...Ch. 11 - Prob. 11.32PCh. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - A student sits on a freely rotating stool holding...Ch. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 11.36PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Review. A thin, uniform, rectangular signboard...Ch. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - Why is the following situation impossible? A space...Ch. 11 - A 0.005 00-kg bullet traveling horizontally with...Ch. 11 - Section 11.5 The Motion of Gyroscopes and Tops A...Ch. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Prob. 11.45APCh. 11 - Review. Two boys are sliding toward each other on...Ch. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 11.48APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Prob. 11.50APCh. 11 - A projectile of mass m moves to the right with a...Ch. 11 - Two children are playing on stools at a restaurant...Ch. 11 - Prob. 11.53APCh. 11 - Prob. 11.54APCh. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Two astronauts (Fig. P11.39), each having a mass...Ch. 11 - Native people throughout North and South America...Ch. 11 - A uniform rod of mass 300 g and length 50.0 cm...Ch. 11 - Global warming is a cause for concern because even...Ch. 11 - The puck in Figure P11.46 has a mass of 0.120 kg....Ch. 11 - A uniform solid disk of radius R is set into...Ch. 11 - In Example 11.8, we investigated an elastic...Ch. 11 - Prob. 11.63CPCh. 11 - A solid cube of wood of side 2a and mass M is...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through one end. The rod is released from rest in a vertical position as shown in Figure P10.65. At the instant the rod is horizontal, find (a) its angular speed, (b) the magnitude of its angular acceleration, (c) the x and y components of the acceleration of its center of mass, and (d) the components of the reaction force at the pivot. Figure P10.65arrow_forwardA thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.arrow_forwardA solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?arrow_forward
- A uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its center, and initially at rest, isacted upon by two tangential forces of equalmagnitude F, acting on opposite sides of itsrim until a point on the rim experiences acentripetal acceleration of 4.00 m/s2 (Fig.P13.73). a. What is the angular momentumof the disk at this time? b. If F = 2.00 N, howlong do the forces have to be applied to thedisk to achieve this centripetal acceleration? FIGURE P13.73arrow_forwardA wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R (Fig. P11.29). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is the mechanical energy of the claycylinder system constant in this process? Explain your answer. (c) Is the momentum of the claycylinder system constant in this process? Explain your answer. Figure P11.29arrow_forwardA rigid, massless rod has three particles with equal masses attached to it as shown in Figure P11.37. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t = 0. Assuming m and d are known, find (a) the moment of inertia of the system of three particles about the pivot, (b) the torque acting on the system at t = 0, (c) the angular acceleration of the system at t = 0, (d) the linear acceleration of the particle labeled 3 at t = 0, (e) the maximum kinetic energy of the system, (f) the maximum angular speed reached by the rod, (g) the maximum angular momentum of the system, and (h) the maximum speed reached by the particle labeled 2. Figure P11.37arrow_forward
- A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?arrow_forwardTwo particles of mass m1 = 2.00 kgand m2 = 5.00 kg are joined by a uniform massless rod of length = 2.00 m(Fig. P13.48). The system rotates in thexy plane about an axis through the midpoint of the rod in such a way that theparticles are moving with a speed of 3.00 m/s. What is the angular momentum of the system? FIGURE P13.48arrow_forwardTwo astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the two-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one of the astronauts shortens the distance between them to d/2. (c) What is the new angular momentum of the system? (d) What are the astronauts new speeds? (e) What is the new rotational energy of the system? (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? Figure P10.67 Problems 67 and 68.arrow_forward
- The velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?arrow_forwardThe uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to rotate on a friction less pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of (a) the rods angular acceleration, (b) the tangential acceleration of the rods center of mass, and (c) the tangential acceleration of the rods free end. Figure P8.47 Problems 47 and 86.arrow_forwardTwo astronauts (Fig. P10.67), each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the two-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. (c) What is the new angular momentum of the system? (d) What are the astronauts new speeds? (e) What is the new rotational energy of the system? (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? Figure P10.67 Problems 67 and 68.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Moment of Inertia; Author: Physics with Professor Matt Anderson;https://www.youtube.com/watch?v=ZrGhUTeIlWs;License: Standard Youtube License