Simple Nature - Light and Matter

In the most general case where there is no symmetry about the rotation axis, we must use iterated integrals, as discussed in sub ...

i/Example 22. h/Moments of inertia of some geometric shapes. The hammer throw example 21 .In the men’s Olympic hammer throw, a s ...

meters to the first power requires k+l= 1, and seconds to the power−1 implies l= 1/2. We findj= 1,k= 1/2, andl= 1/2, so the solu ...

4.3 Angular momentum in three dimensions Conservation of angular momentum produces some surprising phe- nomena when extended to ...

b/The right-hand rule for associating a vector with a direction of rotation. abouty gives one result, while doing them in the op ...

14 deg, and it points along an axis midway between thexandy axes. 4.3.2 Angular momentum in three dimensions The vector cross pr ...

c/The right-hand rule for the direction of the vector cross product. d/The magnitude of the cross product is the area of the sha ...

f/The position and momen- tum vectors of an atom in the spinning top. g/The right-hand rule for the atom’s contribution to the a ...

h/A top is supported at its tip by a pinhead. (More practical devices to demonstrate this would use a double bearing.) i/The tor ...

k/Example 27. torque to the left would therefore tend to make the angular mo- mentum vector precess in the clockwise direction a ...

4.3.3 Rigid-body dynamics in three dimensions The student who is not madly in love with mathematics may wish to skip the rest of ...

We can also generalize the plane-rotation equationK= (1/2)Iω^2 to three dimensions as follows: K= ∑ i 1 2 miv^2 i = 1 2 ∑ i mi(ω ...

l/Visualizing surfaces of constant energy and angular momentum inLx-Ly-Lzspace. m/The Explorer I satellite. surfaces consists on ...

Problem 1. Problem 6. Problem 8. Problems The symbols √ , , etc. are explained on page 303. 1 The figure shows scale drawing of ...

Problems 9 and 10. Problem 11. 9 A uniform ladder of massmand lengthleans against a smooth wall, making an angleθwith respect to ...

Problem 14. Problem 15. Problem 16. Problem 17. 14 (a) The bar of massmis attached at the wall with a hinge, and is supported on ...

19 Use analogies to find the equivalents of the following equations for rotation in a plane: KE=p^2 / 2 m ∆x=vo∆t+ (1/2)a∆t^2 W= ...

Problem 22. Problem 23 22 The sun turns on its axis once every 26.0 days. Its mass is 2.0× 1030 kg and its radius is 7.0× 108 m. ...

Problem 33 28 Find a vector that is perpendicular to both of the following two vectors: ˆx+ 2yˆ+ 3ˆz 4 xˆ+ 5yˆ+ 6ˆz √ 29 Prove p ...

lengtha. √ 300 Chapter 4 Conservation of Angular Momentum ...