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
Ch9
Problems
Give me an analogous linear kinematics problem:
Find a sample problem
Ch9
Rotational Inertia
Center of Mass
Moment of Inertia
Meaning
Calculus
Parallel-Axis Theorem
Perpendicular-Axis Theorem
Example
Ch10
Torque
Cross Product
Extended FBD
Words, Equations, Pictures
Examples
• Equilibrium
• Dynamics
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Races
Pulleys
Yo-Yos
Ch10Angular Momentum
Conservation: An Analogy with Linear Dynamics
Two expressions
When is it not conserved?
Examples
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Ice skater
Formation of the galaxy
Spinning Bike Tire (1st Day Exercise)
Putty on Stick collision
Comparing Approaches
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• Solution
and Narrative
Representation
(Experience)
Statement
• Visual
Representation
• Insert
Numbers
Representation
Interpretation
• Symbolic
• Check
Notation
Reasonable
ness
• Select
Physical
Principles/
Approach
• Build
Relationships
(Ideas)
Mathematical
(Formal) Solution
• Solve
• Check Units
• Check Limiting
Cases
QUANTITATIVE
Linear Kinematics
Newtonian Forces
Work-Energy
Energy Conservation
Momentum-Impulse
Momentum
Conservation
• Rotational
Kinematics
• Rotational Dynamics
• Rotational
Conservation
Principles
Physical Situation
• Conceptual
QUALITATIVE
An object moving down
a ramp
Applying the Problem Solving Framework
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