Ch5 Friction Now add friction… Why does friction occur?

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Presentation transcript:

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

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

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

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

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

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

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

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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