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In a judo foot-sweep move, you sweep your opponent's left foot out from under him while pulling on his gi (uniform) toward that side. As a result, your opponent rotates around his right foot and onto the mat. Figure 10-44 shows a simplified diagram of your opponent as you face him, with his left foot swept out. The rotational axis is through point O. The gravitational force
Figure 10-44 Problem 54.
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Chapter 10 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
- A 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_forwardFor a particle traveling in a straight line, are there any points about which the angular momentum is zero? Assume the line intersects the origin.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 small, spherical asteroid of mass 6500000 kg and radius 7.6 m is stationary. The unsuspecting space rock is tangentially impacted by a Tesla roadster (mass 1320 kg) going 119000 km/h. In the following questions, assume the asteroid is uniform density and the coordinate system is set at the center of the asteroid, with the z direction aligned with its rotation axis post-impact. a) What is the magnitude of the car's linear momentum? IP carl | carl = b) What is the magnitude of the angular momentum of the car relative to the rotation axis of the asteroid just before impact? wf = kg m/s = kg m²/s c) After impact, assume the car sticks to the side of the asteroid, and treat it as a point mass. If angular momentum is conserved, what is the final angular velocity of the asteroid? rad/sarrow_forwardTwo astronauts, each having a mass of 75.5 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 4.90 m/s. Treating the astronauts as particles, calculate each of the following. Center of gravity (a) the magnitude of the angular momentum of the system kg-m²/s (b) the rotational energy of the system KJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? kg-m²/s (d) What are their new speeds? m/s (e) What is the new rotational energy of the system? KJ (f) How much work is done by the astronauts in shortening the rope? kJarrow_forwardA girl of mass M stands on the rim of a frictionless merrygo- round of radius R and rotational inertia I that is not moving. She throws a rock of mass m horizontally in a direction that is tangent to the outer edge of the merry-go-round.The speed of the rock, relative to the ground, is v. Afterward, what are (a) the angular speed of the merry-go-round and (b) the linear speed of the girl?arrow_forward
- 10-113 Determine the products of inertia Iry and Ix for the homogenevus triangular bluck shuwn in Fig. P10-113. b Fig. P10-113arrow_forwardIn 1980, over San Francisco Bay, a large yo-yo was released from a crane. The 116 kg yo-yo consisted of two uniform disks of radius 32 cm connected by an axle of radius 3.2 cm.What was the magnitude of the acceleration of the yo-yo during (a) its fall and (b) its rise? (c) What was the tension in the cord on which it rolled? (d) Was that tension near the cord’s limit of 52 kN? Suppose you build a scaled-up version of the yo-yo (same shape and materials but larger). (e) Will the magnitude of your yo-yo’s acceleration as it falls be greater than, less than, or the same as that of the San Francisco yo-yo? (f) How about the tension in the cord?arrow_forwardProblem A) A rod of mass M and length l moves across a frictionless surface with a speed v. It hits a stationary blob of mass m on one end of the board and sticks, causing the rod and blob to rotate as the systems continues traveling across the frictionless surface. (a) What is the new center of mass with respect to the original center of mass? (b) What is the angular velocity in terms of the center of mass (i.e., leave the center of mass as a variable, xem)? Below shows a bird's eye view.arrow_forward
- Page 2 of 8 In a city park, a carousel with mass 35 kg and radius 1.5 m is a horizontal uniform disk rotating at 1.7 rad/s. A (point-like) cat with mass 3 kg jumps tangentially onto the outer edge of the carousel with just enough speed to cause the carousel's rotation to stop. What speed must the cat have had relative to the carousel?arrow_forwardIn 1980, over San Francisco Bay, a large yo-yo was released from a crane. Suppose the yo-yo was 105 kg, and it consisted of two uniform disks of radius 39.6 cm connected by an axle of radius 3.96 cm. What was the magnitude of the acceleration of the yo-yo during (a) its fall and (b) its rise? (c) What was the tension in the cord on which it rolled?arrow_forwardA person who walks through the revolving door exerts a horizontal force of magnitude F-62 N on one of the four door panels and keeps the angle 8 = 19° constant relative to a line which is normal to the panel. If each panel is modeled by a 64-kg uniform rectangular plate which is 1.1 m in length as viewed from above, determine the magnitude of the final angular velocity w of the door if the person exerts the force for 3.7 seconds. The door is initially at rest and friction may be neglected. Assume a = 0.4 m, b=0.7 m. Answer: w= i F rad/sarrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
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