Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259977206
Author: BEER, Ferdinand P., Johnston Jr., E. Russell, Mazurek, David, Cornwell, Phillip J., SELF, Brian
Publisher: McGraw-Hill Education
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Chapter 14.2, Problem 14.49P
Three identical small spheres, each weighing 2 lb, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A, which is moving to the right with a velocity v0 = (6.5 ft/s)i. Knowing that θ = 30° and that the velocities of spheres A and B immediately after the impact are vA = (0.5 ft/s)i and vB = (3.75 ft/s)i + (vB)y j, determine (vB)y and the velocity of C immediately after impact.
Fig. P14.49
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Three small spheres A, B and C, which weight 1, 2and 4 lb respectively, can slide freely on a horizontalfrictionless surface. Spheres B and C are connectedby a light rod and are at rest in the position shownwhen sphere B is struck squarely by sphere A whichis moving to the right with a velocity V0 = (8 ft/s)i.Knowing that θ = 45° and that the velocities of spheresA and B immediately after the impact are VA = 0 and VB = (2 ft/s)i + (VB)y j, determine(VB)y and the velocity of C immediately after impact.
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Three small spheres A, B, and C , each of mass m , are connected to a small ring D of negligible mass by means of three inextensible, inelastic cords of length I . The spheres can slide freely on a frictionless horizontal surface and are rotating initially at a speed v0 about ring D which is at rest. Suddenly the cord CD breaks. After the other two cords have again become taut, determine (C ) the speed of ring D, (b) the relative speed at which spheres A and B rotate about D , (c) the fraction of the original energy of spheres A and B that is dissipated when cords AD and BD again became taut.
Chapter 14 Solutions
Loose Leaf for Vector Mechanics for Engineers: Statics and Dynamics
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