2. Chapter 4 The Classical Mechanics Explanation of Motion (Dynamics): Newton’s Laws of Motion

3. Introduction: Our approach Inertia Force Nature of Interaction Mass Force & acceleration Problem solving using Newton’s Laws Lab investigation

4. Inertia The revolutionary idea of inertia: constant velocity motion is the new “natural motion” Newton’s First Law of Motion Examples, Activities – Inertial reference frames – Comment on “non-accelerating” Newton’s First Law as a test of inertial frames “Inertia” as a name for the validity of the First Law

5. Force Refining our use of “force” (class activity) A vector quantity (What does that mean?) As the explanation of changes in motion – kinematics of simple collision – implications Simple free body diagrams to represent forces on an object – Exercises – Tutorial – Contact and non-contact forces – Precision in the use of the simple FBD

6. The Nature of Interaction Force – the assumed form of interaction Forces among objects come in pairs, equal and opposite Precise implementation of Newton’s Third Law – Implications and examples – Using simple FBDs for systems of objects – Tutorials – Examples: Weight and normal force – Coins stack/Drop tower physics – The Third Law as a test of inertial frames

7. Mass Mass as a measure of the amount of inertia – When there is a non-zero net force on the object – In contrast to “the quantity of matter” – In contrast to weight – Comment: Will go deeper in terms of energy (E=mc 2 ), later in PH 212

8. From Force to Acceleration Review: The revolutionary idea of force tracking with acceleration, but how quantitatively? Newton’s Second Law, features to note: – net force on object – mass of object – acceleration of object – vector equation The “Newtonian Project”

9. Problem Solving using Newton’s Laws General approach and a new diagram (see)see Sequence of learning (start)start Exercise (graphic)graphic Examples/Practice – Jeopardy problems: 1 2 3123 – Suggested problems Comment: Why Newton needed to invent calculus

10. Lab investigation of net force question Net force and Newton’s 1 st Law (demo) Question: Net force and Newton’s 2 nd Law – Preparation assignment – Lab resources (for next class)

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12. Using Newton’s Laws The Physical situation Mathematical representation Solution Problem

13. Using Newton’s Laws The Physical situation Mathematical representation Solution Problem

14. Using Newton’s Laws The Physical situation Choose/identify objects and forces Mathematical representation Solution Problem

15. Using Newton’s Laws The Physical situation Choose/identify objects and forces Create simple FBDs Mathematical representation Solution Problem

16. Using Newton’s Laws The Physical situation Choose/identify objects and forces Create simple FBDs Choose inertial coordinate systems Mathematical representation Solution Problem

17. Using Newton’s Laws The Physical situation Choose/identify objects and forces Create simple FBDs Choose inertial coordinate systems Implement Newton’s Laws Mathematical representation Solution Problem

18. Using Newton’s Laws The Physical situation Choose/identify objects and forces Create simple FBDs Choose inertial coordinate systems Implement Newton’s Laws Mathematical representation Solution Problem back

19. Using Newton’s Laws The Physical situation Choose/identify objects and forces Create simple FBDs Choose inertial coordinate systems Implement Newton’s Laws Mathematical representation Solution Problem return 1 2 34 5 7 6 8 9 10

20. Jeopardy problem 1 Describe in words a problem for which the following equation is a representation of the physical situation. Also draw a simple FBD that is consistent with the equation (specify the direction of the axis): +24.2 N – F BG = (4.2 kg)(3.0 m/s 2 ) next return

21. Jeopardy problem 2 Describe in words a problem for which the following equation is a representation of the physical situation. Also draw a simple FBD that is consistent with the equation (specify the direction of the axis) (note - f denotes friction): +1.0 N – f AT = (1.2 kg)(-1.3 m/s 2 ) next return

22. Jeopardy problem 3 Describe in words a problem for which the following equation is a representation of the physical situation. Also draw a simple FBD that is consistent with the equation (specify the direction of the axis) (note - f denotes friction): +1.0 N cos(12 O )– f AT = (1.2 kg)(1.3 m/s 2 ) return