Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
9th Edition
ISBN: 9781305116429
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 11, Problem 11.29P
A space station is coast me ted in the shape of a hollow ring of mass 5.00 × 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (Sec Fig. P11.29.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring, (a) What
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Chapter 11 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
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...
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- A space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? Figure P10.52 Problems 52 and 54.arrow_forwardWhy is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.arrow_forwardA uniform solid sphere of mass m and radius r is releasedfrom rest and rolls without slipping on a semicircular ramp ofradius R r (Fig. P13.76). Ifthe initial position of the sphereis at an angle to the vertical,what is its speed at the bottomof the ramp? FIGURE P13.76arrow_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 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_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_forward
- A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.arrow_forwardLara is running just outside the circumference of a carousel, looking for her favorite horse to ride, with a constant angular speed of 1.00 rad/s. Just as she spots the horse, one-fourth of the circumference ahead of her, the carousel begins to move, accelerating from rest at 0.050 rad/s2. a. Taking the time when the carousel begins to move as t = 0, when will Lara catch up to the horse? b. Lara mistakenly passes the horse and keeps running at constant angular speed. If the carousel continues to accelerate at the same rate, when will the horse draw even with Lara again?arrow_forwardIn testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?arrow_forward
- Two 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_forwardA uniform rod of length b stands vertically upright on a rough floor and then tips over. What is the rods angular velocity when it hits the floor?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_forward
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