Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 11, Problem 33P
SSM WWW ILW At time t = 0, a 3.0 kg particle with velocity
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vector v of magnitude 6.80 m/s and angle 02 = 27.0°. Force F ,of magnitude 1.60 N and angle 03 = 27.0° acts on P. All three
vectors lie in the xy plane. About the origin, what are the magnitude of (a) the angular momentum of the particle and (b) the torque
At the instant of the figure, a 6.90 kg particle P has a position vector i of magnitude 6.00 m and angle 01 = 48.0° and a velocity
acting on the particle?
02
A 6.22 kg particle with velocity v = (9.72 m/s)î – (8.99 m/s)j is at x = 2.96 m, y = 5.29 m. It is pulled by a 5.05 N force in the
negative x direction. About the origin, what are (a) the particle's angular momentum, (b) the torque acting on the particle, and (c) the
rate at which the angular momentum is changing?
(a) Number
i
k Units
(b) Number
i
k Units
(c) Number
i
k Units
Chapter 11 Solutions
Fundamentals of Physics Extended
Ch. 11 - Figure 11-23 shows three particles of the same...Ch. 11 - Figure 11-24 shows two particles A and B at xyz...Ch. 11 - What happens to the initially stationary yo-yo in...Ch. 11 - The position vector r of a particle relative to a...Ch. 11 - In Fig. 11-26, three forces of the same magnitude...Ch. 11 - The angular momenta t of a particle in four...Ch. 11 - A rhinoceros beetle rides the rim of a horizontal...Ch. 11 - Figure 11-27 shows an overhead view of a...Ch. 11 - Figure 11-38 gives the angular momentum magnitude...Ch. 11 - Figure 11-29 shows a particle moving at constant...
Ch. 11 - A cannonball and a marble roll smoothly from rest...Ch. 11 - Prob. 12QCh. 11 - A car travels at 80 km/h on a level road in the...Ch. 11 - An automobile traveling at 80.0 km/h has tires of...Ch. 11 - Prob. 3PCh. 11 - A uniform solid sphere rolls down an incline. a...Ch. 11 - ILW A 1000 kg car has four 10 kg wheels. When the...Ch. 11 - Figure 11-30 gives the speed v versus time t for a...Ch. 11 - ILW In Fig. 11-31, a solid cylinder of radius 10cm...Ch. 11 - Figure 11-32 shows the potential energy Ux of a...Ch. 11 - GO In Fig. 11-33, a solid ball rolls smoothly from...Ch. 11 - A hollow sphere of radius 0.15 m, with rotational...Ch. 11 - In Fig. 11-34, a constant horizontal force Fapp of...Ch. 11 - GO In Fig. 11-35, a solid brass ball of mass 0.280...Ch. 11 - GO Nonuniform ball. In Fig. 11-36, a ball of mass...Ch. 11 - In Fig. 11-37, a small, solid, uniform ball is to...Ch. 11 - GO A bowler throws a bowling ball of radius R = 11...Ch. 11 - GO Nonuniform cylindrical object. In Fig. 11-39, a...Ch. 11 - SSM A yo-yo has a rotational inertia of 950 gcm2...Ch. 11 - Prob. 18PCh. 11 - In unit-vector notation, what is the net torque...Ch. 11 - A plum is located at coordinates 2.0 m, 0, 4.0 m....Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - A particle moves through an xyz coordinate system...Ch. 11 - Force F=(2.0N)i(3.0N)k acts on a pebble with...Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - SSM Force F=(8.0N)i+(6.0N)j acts on a particle...Ch. 11 - At the instant of Fig. 11-40, a 2.0 kg particle P...Ch. 11 - SSM At one instant, force F=4.0N acts on a 0.25 kg...Ch. 11 - A 2.0 kg particle-like object moves in a plant...Ch. 11 - ILW In the instant of Fig, 11-41, two particles...Ch. 11 - At the instant the displacement of a 2.00 kg...Ch. 11 - In Fig. 11-42, a 0.400 kg ball is shot directly...Ch. 11 - A particle is acted on by two torques about the...Ch. 11 - SSM WWW ILW At time t = 0, a 3.0 kg particle with...Ch. 11 - A particle is to move in an xy plane, clockwise...Ch. 11 - At time t, the vector r=4.0t2i(2.0t+6.0t2)j gives...Ch. 11 - Prob. 36PCh. 11 - GO In Fig. 11-44, three particles of mass m = 23 g...Ch. 11 - A sanding disk with rotational inertia 1.2 103...Ch. 11 - SSM The angular momentum of a flywheel having a...Ch. 11 - A disk with a rotational inertia of 7.00 kgm2...Ch. 11 - GO Figure 11-45 shows a rigid structure consisting...Ch. 11 - Figure 11-46 gives the torque that acts on an...Ch. 11 - Prob. 43PCh. 11 - A Texas cockroach of mass 0.17 kg runs...Ch. 11 - SSM WWW A man stands on a platform that is...Ch. 11 - The rotational inertia of a collapsing spinning...Ch. 11 - SSM A track is mounted on a large wheel that is...Ch. 11 - A Texas cockroach walks from the center of a...Ch. 11 - Two disks are mounted like a merry-go-round on...Ch. 11 - The rotor of an electric motor has rotational...Ch. 11 - SSM ILW A wheel is rotating freely at angular...Ch. 11 - GO A cockroach of mass m lies on the rim of a...Ch. 11 - GO In Fig. 11-50 an overhead view, a uniform thin...Ch. 11 - GO Figure 11-51 shows an overhead view of a ring...Ch. 11 - A horizontal vinyl record of mass 0.10 kg and...Ch. 11 - In a long jump, an athlete leaves the ground with...Ch. 11 - A uniform disk of mass 10m and radius 3.0r can...Ch. 11 - A horizontal platform in the shape of a circular...Ch. 11 - Figure 11-52 is an overhead view of a thin uniform...Ch. 11 - In Fig. 11-53, a 1.0 g bullet is tired into a 0.50...Ch. 11 - The uniform rod length 0.60 m, mass 1.0 kg in Fig....Ch. 11 - GO During a jump to his partner, an aerialist is...Ch. 11 - GO In Fig. 11-56, a 30 kg child stands on the edge...Ch. 11 - A ballerina begins a tour jet Fig. 11-19a with...Ch. 11 - SSM WWW Two 2.00 kg balls are attached to the ends...Ch. 11 - Prob. 66PCh. 11 - Prob. 67PCh. 11 - Prob. 68PCh. 11 - A certain gyroscope consists of a uniform disk...Ch. 11 - A uniform solid ball rolls smoothly along a floor,...Ch. 11 - SSM In Fig. 11-60, a constant horizontal force...Ch. 11 - A thin-walled pipe rolls along the floor. What is...Ch. 11 - Prob. 73PCh. 11 - Prob. 74PCh. 11 - Prob. 75PCh. 11 - A uniform block of granite in the shape of a book...Ch. 11 - SSM Two particles, each of mass 2.90 104 kg and...Ch. 11 - A wheel of radius 0.250 m, moving initially al...Ch. 11 - Wheels A and B in Fig. 11-61 are connected by a...Ch. 11 - Prob. 80PCh. 11 - SSM A uniform wheel of mass 10.0 kg and radius...Ch. 11 - A uniform rod rotates in a horizontal plane about...Ch. 11 - A solid sphere of weight 36.0 N rolls up an...Ch. 11 - Suppose that the yo-yo in Problem 17, instead of...Ch. 11 - A girl of mass M stands on the rim of a...Ch. 11 - Prob. 86P
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- 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 buzzard (m = 9.29 kg) is flying in circular motion with aspeed of 8.44 m/s while viewing its meal below. If the radius ofthe buzzards circular motion is 8.00 m, what is the angularmomentum of the buzzardaround the center of its motion?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
- A student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56). When his arms are extended horizontally (Fig. P10.56a), the dumbbells are 1.00 m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis (Fig. P10.56b). (a) Find the new angular speed of the student. (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Figure P10.56arrow_forwardA 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_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
- 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_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_forwardA disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forward
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