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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 Ch5 Drag Terminal Velocity Calculus Graphs Drag Ch5Uniform 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 Ch13Newtonian 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 Problem Solving Model: Revisited Narrative Representation • Solution Statement (Experience) • Visual • Insert Numbers Representaton Representation Interpretation • Check • Symbolic Notation Principles/Approach Reasonableness (Ideas) • Check Dimensions Mathematical (Formal) Solution • Build Relationships • Check • Solve Limiting Cases QUANTITATIVE • Select Physical QUALITATIVE • Conceptual and Physical Situation Problem Solving Model: Kinematics Approximations: frictionless, constant a, etc. • Solution Statement (Experience) • Motion Graphs: • Insert Numbers origin, signs, units Representation Interpretation • Check • Symbolic Notation Kinematics Toolbox Reasonableness (Ideas) • Check Dimensions Mathematical (Formal) Solution • Apply Specifics to Build Relationships • Check • Solve Limiting Cases QUANTITATIVE • General Equations: QUALITATIVE • Assumptions and Physical Situation Problem Solving Model: Newtonian Forces Forces, What to Ignore • Solution Statement (Experience) • Simply Free Body Diagrams, Vector Drawings, Coordinate Systems, Signs, Axes • Insert Numbers Representation Interpretation • Check • Symbolic Notation Reasonableness (Ideas) • Check Dimensions Mathematical (Formal) Solution • Build Relationships • Check • Solve Limiting Cases QUANTITATIVE • Newton’s Laws for each direction, for each Object QUALITATIVE • Friction, Constant Physical Situation