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# Free Body Diagrams

Free Body Diagrams. A Free Body Diagram (FBD) is a visual representation of all the forces acting on a single object. FBDs are extremely powerful problem solving tools that bridge the gap between qualitative analysis and a quantitative mathematical representation. Drawing an FBD….

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## Free Body Diagrams

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1. Free Body Diagrams A Free Body Diagram (FBD) is a visual representation of all the forces acting on a single object FBDs are extremely powerful problem solving tools that bridge the gap between qualitative analysis and a quantitative mathematical representation

2. Drawing an FBD… • A simple dot can beusedtorepresenttheobject in question • Identifytheforcesacting ON thatobjectonly • Drawonearrowtorepresenteachforceacting ON theobject • Allarrowsshouldbedrawnfromthedotorthe center of theobject • Thearrowspoint in thedirection of theforce. • Thelength of thearrowrepresentstherelativemagnitude of theforce…ielongerarrows = largerforce

3. Normal Force FN FW Weight/ForceduetoGravity Example 1 A labcartrestingon a desktop

4. FN AppliedForce FA Friction f FW Example 2 A labcartmovingwith a constantvelocityacross a surface

5. FN FA f FW Example 3 A labcartacceleratingtotherightacrossthefloor

6. Tension T FW Example 3 A tetherballwhileswinging at a constantspeedaround a pole Notice there is nothing in the original description that says the tetherball is being hit. A diagram for the ball as it is being hit would show an additional force acting on the ball.

7. Example 4 Try it… Draw a FBD and write the 2nd law equations for a lawn mower being pushed at a constant speed

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