College and Engineering Physics FreeBody Diagrams TOC Steps

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

College and Engineering Physics Free-Body Diagrams Using a free-body diagram… TOC 2 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 An example… TOC 3 Bailey-the-Wonder-Dog is walking down a 20 o slope with a constant acceleration of 1 m/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 TOC θ 4

College and Engineering Physics Free-Body Diagrams TOC θ 5

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

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

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

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

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

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

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

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

College and Engineering Physics Free-Body Diagrams 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). TOC ℓ m 18

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