A truck pushes a box along a horizontal surface at constant speed Vo as shown above....
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A truck pushes a box along a horizontal surface at constant speed Vo as shown above. The box is sliding along the surface. The mass of the truck is given as m, and the mass of the box is given as m. The wheels of the truck roll with no slipping and no sliding. The coefficient of sliding friction between the box and surface is given as #k. The coefficient of static friction between the wheels of the truck and the surface is given as . Part (a) - Draw careful Free Body Diagrams (FBDs) for both the truck and the box. Be sure to include a coordinate system for each FBD and be sure to properly label every force on each body with appropriate subscripts. Important: for this problem, most forces will need two indices. Please use the notation where fAB means "the Force of Friction on Body-A due to Body-B. Very Important: The only forces you are allowed to consider putting in your Free Body Diagrams are those explicitly listed in your Force Menu: Weight, Normal, Tension and Friction. You are not allowed to invent or create any other forces. There is no "Applied Force" here, so do not include one in your FBDs. Part (b) - What is the net force on the truck? Give your answer in terms of the given parameters. Explain how you know this? Hint: This is a conceptual question and requires no calculations whatsoever. Part (c) - Determine the magnitude of the all forces on the box. Give your answers in terms of the given parameters. Explain your work. Part (d) - Determine the magnitude of the all forces on the truck. Give your answers in terms of the given parameters. Explain your work. A truck pushes a box along a horizontal surface at constant speed Vo as shown above. The box is sliding along the surface. The mass of the truck is given as m, and the mass of the box is given as m. The wheels of the truck roll with no slipping and no sliding. The coefficient of sliding friction between the box and surface is given as #k. The coefficient of static friction between the wheels of the truck and the surface is given as . Part (a) - Draw careful Free Body Diagrams (FBDs) for both the truck and the box. Be sure to include a coordinate system for each FBD and be sure to properly label every force on each body with appropriate subscripts. Important: for this problem, most forces will need two indices. Please use the notation where fAB means "the Force of Friction on Body-A due to Body-B. Very Important: The only forces you are allowed to consider putting in your Free Body Diagrams are those explicitly listed in your Force Menu: Weight, Normal, Tension and Friction. You are not allowed to invent or create any other forces. There is no "Applied Force" here, so do not include one in your FBDs. Part (b) - What is the net force on the truck? Give your answer in terms of the given parameters. Explain how you know this? Hint: This is a conceptual question and requires no calculations whatsoever. Part (c) - Determine the magnitude of the all forces on the box. Give your answers in terms of the given parameters. Explain your work. Part (d) - Determine the magnitude of the all forces on the truck. Give your answers in terms of the given parameters. Explain your work.
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Related Book For
Vector Mechanics For Engineers Statics And Dynamics
ISBN: 9781259977206
12th Edition
Authors: Phillip J Cornwell, E Russell Jr Johnston, David Mazurek, E Russell Johnston Jr, Ferdinand P Beer, Brian
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