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Test 3 today, at 7 pm and 8:15 pm, in Heldenfels 109 Chapters 10-15.

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Presentation on theme: "Test 3 today, at 7 pm and 8:15 pm, in Heldenfels 109 Chapters 10-15."— Presentation transcript:

1 Test 3 today, at 7 pm and 8:15 pm, in Heldenfels 109 Chapters 10-15

2 Kinematics in Cartesian coordinates is given, you can find If and

3 Kinematics in polar coordinates y x  Uniform circular motion:

4 Vectors!! Cross product!!!!

5 Torque and Angular Momentum Kinetic energy: Motion in the plane, in polar coordinates: y x 

6 Dynamics of rotational motion Central force y x  O

7 m1 m2 R Rigid bodies rotating about a fixed axis

8 Conservation laws: shortcuts to find velocities bypassing Newton’s law and accelerations Momentum Angular momentum energy

9 Work Energy Theorem Central force:

10 Mechanical energy is conserved!

11 Conservation of Momentum Only iff the collision is perfectly elastic, the kinetic energy is conserved Sometimes only F x or F y may be equal to zero. Then only p x or p y is conserved. If F is not zero, but the collision is very short (F  t is small as compared to change in momentum), you can still use momentum conservation relating moments of time immediately before and after the collision.


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