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
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Chapter 11, Problem 11.63CP
To determine
The minimum value of magnitude of
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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...
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- A wooden block of mass M resting on a frictionless, horizontal surface is attached to a rigid rod of length and of negligible mass (Fig. P11.27). The rod is pivoted at the other end. A bullet of mass m traveling parallel to the horizontal surface and perpendicular to the rod with speed v hits the block and becomes embedded in it. (a) What is the angular momentum of the bulletblock system about a vertical axis through the pivot? (b) What fraction of the original kinetic energy of the bullet is converted into internal energy in the system during the collision? Figure P11.27arrow_forwardOne end of a massless rigid rod of length is attached to a woodenblock of mass M restingon a frictionless, horizontal tabletop, and theother end is attached tothe table through apivot (Fig. P13.75). Abullet of mass m traveling with a speed v in adirection perpendicular to the rod and parallel to the table impacts the block and embeds itself inside. a. What is the angular momentum of this systemaround a vertical axis through the pivot after the collision?b. What is the fraction of the bullets initial kinetic energy thatis lost to internal energy duringthe collision? FIGURE P13.75arrow_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
- Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and is perpendicular to the page. The cylinder has a mass of 0.5 kg and a radius of 10 cm, and is initially at rest. (a) What is the angular velocity of the system after the collision? (b) How much kinetic energy is lost in the collision?arrow_forwardA solid cube of wood of side 2a and mass M is resting on a horizontal surface. The cube is constrained to rotate about a fixed axis AB (Fig. P11.48). A bullet of mass m and speed v is shot at the face opposite ABCD at a height of 4a/3. The bullet becomes embedded in the cube. Find the minimum value of v required to tip the cube so that it falls on face ABCD. Assume m M. Figure P11.48arrow_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 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 projectile of mass m moves to the right with a speed vi (Fig. P10.81a). The projectile strikes and sticks to the end of a stationary rod of mass M, length d, pivoted about a frictionless axle perpendicular to the page through O (Fig. P10.81b). We wish to find the fractional change of kinetic energy in the system due to the collision. (a) What is the appropriate analysis model to describe the projectile and the rod? (b) What is the angular momentum of the system before the collision about an axis through O? (c) What is the moment of inertia of the system about an axis through O after the projectile sticks to the rod? (d) If the angular speed of the system after the collision is , what is the angular momentum of the system after the collision? (e) Find the angular speed after the collision in terms of the given quantities. (f) What is the kinetic energy of the system before the collision? (g) What is the kinetic energy of the system after the collision? (h) Determine the fractional change of kinetic energy due to the collision. Figure P10.81arrow_forwardA 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_forward
- An object of mass M isthrown with a velocity v0 at anangle with respect to thehorizontal (Fig. P13.44). Findthe angular momentum of theobject around the origin whenthe object is at the highestpoint of its trajectory.arrow_forwardA 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 0.005 00-kg bullet traveling horizontally with a speed of 1.00 3 103 m/s strikes an 18.0-kg door, embedding itself 10.0 cm from the side opposite the hinges as shown in Figure P11.30. The 1.00-m wide door is free to swing on its frictionless hinges. (d) At what angular speed does the door swing open immediately after the collision just after the bullet embeds itself in the door? (e) Calculate the initial momentum of the bullet–door system and determine whether it is less than or equal to the kinetic energy of the bullet before the collision.arrow_forward
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