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Ch5 Friction Now add friction… Why does friction occur?

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Presentation on theme: "Ch5 Friction Now add friction… Why does friction occur?"— Presentation transcript:

1 Ch5 Friction Now add friction… Why does friction occur?
What are the properties of friction? Draw a graph of friction vs. applied force At what angle does an object begin to slide down a ramp? Directions and extreme values

2 Drag Terminal Velocity Calculus Graphs
Ch5 Drag Drag Terminal Velocity Calculus Graphs

3 Uniform Circular Motion
Ch5 Uniform Circular Motion Proportional Reasoning from Pictures Rotational Dynamics Ferris wheel FBDs Apparent forces 3rd Law

4 Ch5 The Banked Curve Consider a car going around a curve…
Flat, without friction Flat, with friction Banked, without friction Banked, with friction Max and Min speeds

5 Ch13 Newtonian Gravity Orbits as free fall Weightlessness Apparent
Fictitious force Non-inertial frames Newton’s Universal Law of Gravity Drawing Equation Words Calculate g – the Gravitational Field! Geostationary satellites

6 Mathematical (Formal) Solution
Problem Solving Model: Revisited Physical Situation Conceptual and Narrative Representation Solution Statement CONCRETE (Experience) QUALITATIVE Visual Representaton Insert Numbers Representation Interpretation ABSTRACT Check Reasonableness Symbolic Notation (Ideas) Select Physical Principles/Approach Check Dimensions QUANTITATIVE CONCRETE Mathematical (Formal) Solution Build Relationships Check Limiting Cases Solve

7 Mathematical (Formal) Solution
Problem Solving Model: Kinematics Physical Situation Assumptions and Approximations: frictionless, constant a, etc. Solution Statement CONCRETE (Experience) QUALITATIVE Motion Graphs: origin, signs, units Insert Numbers Representation Interpretation ABSTRACT Check Reasonableness Symbolic Notation (Ideas) General Equations: Kinematics Toolbox Check Dimensions QUANTITATIVE CONCRETE Mathematical (Formal) Solution Apply Specifics to Build Relationships Check Limiting Cases Solve

8 Mathematical (Formal) Solution
Problem Solving Model: Newtonian Forces Physical Situation Friction, Constant Forces, What to Ignore Solution Statement CONCRETE (Experience) QUALITATIVE Simply Free Body Diagrams, Vector Drawings, Coordinate Systems, Signs, Axes Insert Numbers Representation Interpretation ABSTRACT Check Reasonableness Symbolic Notation (Ideas) Newton’s Laws for each direction, for each Object Check Dimensions QUANTITATIVE CONCRETE Mathematical (Formal) Solution Build Relationships Check Limiting Cases Solve


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