1 Honors Physics 1 Class 14 Fall 2013 The rotating skew rod Rotational Inertia Tensor Stability of spinning objects The spinning top in gravity.

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1 Honors Physics 1 Class 14 Fall 2013 The rotating skew rod Rotational Inertia Tensor Stability of spinning objects The spinning top in gravity

2 The angular momentum vector and angular velocity do not necessarily point in the same direction Consider a rigid body consisting of two particles of equal mass on the ends of a massless rigid rod of length 2l. The midpoint of the rod is attached to a vertical axis which rotates at angular speed . The rod is skewed at an angle  from the axis. Find the angular momentum of the system.

3

4 Geometric interpretation of precession of the skewed rod

5 Moment of Inertia Tensor

6 The spinning bicycle wheel (Gyroscope)

7 Moment of inertia of various objects

8 Stability of spinning objects Applications: Rolling hula hoops, flying saucers, footballs, rifle bullets... F