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Ch9 Rotational Kinematics Adding in Rotations to Collisions 2 Stories: Motion along a line; motion about a line Center of mass Review: Build a table of.

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Presentation on theme: "Ch9 Rotational Kinematics Adding in Rotations to Collisions 2 Stories: Motion along a line; motion about a line Center of mass Review: Build a table of."— Presentation transcript:

1 Ch9 Rotational Kinematics Adding in Rotations to Collisions 2 Stories: Motion along a line; motion about a line Center of mass Review: Build a table of analogies with F=ma and linear momentum

2 Ch9 Problems Give me an analogous linear kinematics problem: Find a sample problem

3 Ch9 Rotational Inertia Center of Mass Moment of Inertia Meaning Calculus Parallel-Axis Theorem Perpendicular-Axis Theorem Example

4 Ch10 Torque Cross Product Extended FBD Words, Equations, Pictures Examples Equilibrium Dynamics Races Pulleys Yo-Yos

5 Ch10 Angular Momentum Conservation: An Analogy with Linear Dynamics Two expressions When is it not conserved? Examples Ice skater Formation of the galaxy Spinning Bike Tire (1 st Day Exercise) Putty on Stick collision

6 Comparing Approaches An object moving down a ramp Linear Kinematics Newtonian Forces Work-Energy Energy Conservation Momentum-Impulse Momentum Conservation Rotational Kinematics Rotational Dynamics Rotational Conservation Principles QUALITATIVE QUANTITATIVE Physical Situation Mathematical (Formal) Solution RepresentationInterpretation Visual Representation Symbolic Notation Select Physical Principles/ Approach Build Relationships Solve Check Limiting Cases Check Reasonable ness Insert Numbers (Experience) (Ideas) Check Units Conceptual and Narrative Representation Solution Statement Applying the Problem Solving Framework

7 Basic Applications Where we have been: motion of rigid, non-rotating systems frameworks motion of rigid, rotating systems Where we are going: motion of non-rigid, non-rotating systems motion of oscillatory systems waves emergent properties of many-body systems


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