Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 11, Problem 27P
A wooden block of mass M resting on a frictionless, horizontal surface is attached to a rigid rod of length ℓ 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
Figure P11.27
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Chapter 11 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 11.1 - Which of the following statements about the...Ch. 11.2 - Recall the skater described at the beginning of...Ch. 11.3 - A solid sphere and a hollow sphere have the same...Ch. 11.4 - A competitive diver leaves the diving board and...Ch. 11 - Prob. 1PCh. 11 - The displacement vectors 42.0 cm at 15.0 and 23.0...Ch. 11 - Prob. 3PCh. 11 - Prob. 4PCh. 11 - Two forces F1 and F2 act along the two sides of an...Ch. 11 - A student claims that he has found a vector A such...
Ch. 11 - A particle is located at a point described by the...Ch. 11 - A 1.50-kg particle moves in the xy plane with a...Ch. 11 - Prob. 9PCh. 11 - Heading straight toward the summit of Pikes Peak,...Ch. 11 - Review. A projectile of mass m is launched with an...Ch. 11 - Prob. 12PCh. 11 - A particle of mass m moves in a circle of radius R...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 - Prob. 16PCh. 11 - A uniform solid disk of mass m = 3.00 kg and...Ch. 11 - Show that the kinetic energy of an object rotating...Ch. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Prob. 21PCh. 11 - Prob. 22PCh. 11 - A 60.0-kg woman stands at the western rim of a...Ch. 11 - Prob. 24PCh. 11 - A uniform cylindrical turntable of radius 1.90 m...Ch. 11 - Prob. 26PCh. 11 - A wooden block of mass M resting on a...Ch. 11 - Prob. 28PCh. 11 - A wad of sticky clay with mass m and velocity vi...Ch. 11 - A 0.005 00-kg bullet traveling horizontally with a...Ch. 11 - The angular momentum vector of a precessing...Ch. 11 - A light rope passes over a light, frictionless...Ch. 11 - Prob. 33APCh. 11 - Prob. 34APCh. 11 - We have all complained that there arent enough...Ch. 11 - Prob. 36APCh. 11 - A rigid, massless rod has three particles with...Ch. 11 - Prob. 38APCh. 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 - Two children are playing on stools at a restaurant...Ch. 11 - You are attending a county fair with your friend...Ch. 11 - Prob. 44APCh. 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 - Prob. 47APCh. 11 - A solid cube of wood of side 2a and mass M is...Ch. 11 - Prob. 49CPCh. 11 - Prob. 50CP
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- A 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_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 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_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_forwardThe angular momentum vector of a precessing gyroscope sweeps out a cone as shown in Figure P11.31. The angular speed of the tip of the angular momentum vector, called its precessional frequency, is given by p=/I, where is the magnitude of the torque on the gyroscope and L is the magnitude of its angular momentum. In the motion called precession of the equinoxes, the Earths axis of rotation processes about the perpendicular to its orbital plane with a period of 2.58 104 yr. Model the Earth as a uniform sphere and calculate the torque on the Earth that is causing this precession. Figure P11.31 A precessing angular momentum vector sweeps out a cone in space.arrow_forward
- 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 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_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_forward
- A 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_forwardA long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?arrow_forward
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