College and Engineering Physics Free-Body Diagrams 1 TOC Steps to Solving the Problem Drawings Calculations.

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Presentation transcript:

College and Engineering Physics Free-Body Diagrams 1 TOC Steps to Solving the Problem Drawings Calculations

College and Engineering Physics Free-Body Diagrams 2 TOC Using a free-body diagram… 1.Draw a picture of the problem. 2.Draw the object on which the force is being sought. 3.Draw and label the forces and the acceleration. 4.Choose and draw your axes. 5.Determine the magnitude of the known forces and the acceleration if it is known. 6.Determine the angle of all of the forces and the acceleration (from the x-axis going counterclockwise). 7.Determine the components of each force and the acceleration. 8.Add the components of all of the forces. 9.Use Newton’s second law to solve the problem.

College and Engineering Physics Free-Body Diagrams 3 TOC An example… Bailey-the-Wonder-Dog is walking down a 20 o slope with a constant acceleration of 1m/s 2. Bailey herself has a mass of 35 kg. What is the coefficient of friction acting between each of Bailey’s legs and the slope?

College and Engineering Physics Free-Body Diagrams 4 TOC θ

College and Engineering Physics Free-Body Diagrams 5 TOC θ

College and Engineering Physics Free-Body Diagrams 6 TOC y x θ y x

College and Engineering Physics Free-Body Diagrams 7 TOC y x θ θ

College and Engineering Physics Free-Body Diagrams 8 TOC y x Weight

College and Engineering Physics Free-Body Diagrams 9 TOC y x Normal Force

College and Engineering Physics Free-Body Diagrams 10 TOC y x Friction

College and Engineering Physics Free-Body Diagrams 11 TOC y x Acceleration

College and Engineering Physics Free-Body Diagrams 12 TOC

College and Engineering Physics Free-Body Diagrams 13 TOC

College and Engineering Physics Free-Body Diagrams 14 TOC

College and Engineering Physics Free-Body Diagrams 15 TOC

College and Engineering Physics Free-Body Diagrams 16 TOC m ?? m ?? Rope 1Rope 2 Rope 3 Rope 1Rope 2 Rope 3 Figure A Figure B 120º Sample Problem: Does the rope 1 in Figure A or B have greater tension? LL

College and Engineering Physics Free-Body Diagrams 17 TOC m m ???? Rope 1Rope 2 Rope 3 Figure AFigure B 120º Rope 1Rope 2 Rope 3 LL Sample Problem: Does the rope 1 in Figure A or B have greater tension?

College and Engineering Physics Free-Body Diagrams 18 TOC m ℓ Sample Problem: Determine an algebraic expression for the spring constant of the spring in terms of the mass of the block (m), the displacement from equilibrium (ℓ) and the acceleration due to gravity (g).

College and Engineering Physics Free-Body Diagrams 19 TOC This is the last slide. Click the back button on your browser to return to the Ebook.