Classical Mechanics

Errata for First Printing

How do I know which printing I have?


Right front endpaper, line 4 below the heading “Some Integrals”

Is:                     . . . = ln(1 + x2)

            Should be:        . . . = ½ ln(1 + x2)

 Page 29, Figure 1.13(b):

            The “Delta phi” at the top of this picture should read “Delta phihat” as in the caption for part (b).

 Page 47, Figure 2.2:

            In the equation f = -b v, the “vee” should be bold (as well as the “eff”).

Page 56, Example 2.4

            Replace “diameter d” by “diameter D”

Page 67, Figure 2.13, at the top right of the picture,

vx + ivx  should read vx + ivy

 [i.e., replace the final sub x with a sub y].

Page 79, Problem 2.44

            On line 9 of the problem, replace 3.5 by 35 

            On line 11, replace “... trajectories for ... on the ...” by “... trajectories for appropriate time intervals on the ...”

 Page 107, line 8

            Replace the words “The particular line integral . . .” by “For any force F, the line integral . . .”

Page 191, first line above Eq. (5.78)

            Replace omega_i with omega_1 (ω1)

Page 196, Eq. (5.89)

            The coefficients in the Fourier series are incorrect and should be

                        0.25,  0.45,  0.32,  0.15, 0,  –0.09,  –0.11 

Page 200, in the displayed table

            The final entry on the second line should be –1 not 1 (that is, insert a negative sign.)

Page 201, in the displayed table

            The final entry on the second line should be –1 not 1 (that is, insert a negative sign.)

Page 206, line 6

            Replace the first equation, β = 2b/m with β = b/2m

 Page 208, lines 1 and 2 of Problem 5.10

            Replace the words “are constants” with “are positive constants.” 

 Page 210, line 4 of Problem 5.25

            Add a subscript 1 to the first tau (should be τ1)

Page 213, in Figure 5.28(a)

            Replace the leftmost 1 with –1

 Page 213, in Figure 5.28(b)

            The label fmax on the vertical axis should move down to be level with the tops of the sawteeth

Page 232, Problem 6.5:

            At the end of this problem add the following sentence:

“This shows the time is maximum with respect to paths of the form APB with just two straight segments.  It is easy to see that it is minimum for other kinds of path, so the correct general statement is that it is stationary for arbitrary variations of the path.

Page 232, Problem 6.12

            Replace the word “sinh” by “arcsinh”

Page 233, line 4 of Problem 6.19

            Is:                     … is minimum has …

            Should be:        … is stationary has…


Page 289 on line 5 of Problem 7.44

change “omega = 0.1” to “omega = 0.2”

Page 290, line 7 (unnumbered equation)

            The two letters d should be changed to partial derivatives  

Page 351, Line 2 of text:

            Replace the phrase “about twice as far” with

“... even further (about four times, in fact)...”

Page 358, line 10 from bottom

            Is:                     rOmega2

            Should be:        mrOmega2

 Page 361, line 2 of Problem 9.4

            Is:                     … form (1 + epsilon)-3 approx 1 - 3epsilon .]

            Should be:        … form (1 + epsilon)-3/2 approx 1 - 3epsilon/2 .]  

Page 415, last line of Problem 10.52

            Is:                     … in (10.06).

            Should be:        … in (10.96).  

Page 453, Figure 11.20

            The angle phi_2 should be defined as the angle between the radius pointing to m and the VERTICAL, as in Figure 11.9. 

 Page 472, Figure 12.8:

            The arrow labeled “8” in the bottom right picture should extend two periods further to the right.

Page 477, line 3 from bottom

            Is:                     … constant ln(10) times …

            Should be:        … constant log(e) times …

 Page 535, line 20

            Is:                     … Equation (13.31) …

            Should be:        … Equation (13.35) …

Page 551, line 1 of Problem 13.4

            In the in-text equation insert a dot over the letter q

[as on the left side of Eq. (13.13) on page 525].

Page 595. Lines 2 and 7 of Footnote 1:

            Replace “Pluto” with “Neptune”

Page 598, line 8 from the bottom

            Delete the prime from the script cap “Ess”

Page 598, line 3 from the bottom

            Is:                     … that Kepler’s sun-centered …

            Should be:        … that Copernicus’s sun-centered …

Page 606, line 6

            Is:                     Delta t prime approx 7 Delta t

            Should be:        Delta t  approx 7 Delta t prime …

Page 606, lines 9 and 10

            Is:                     Delta t prime = Delta t/0

            Should be:        Delta t = Delta t prime/0

Page 606, end of line 10

            Is:                     … value for Delta t prime.

Should be:        … value Delta t. 

Page 616, line 2 below Eq. (15.27)

            Is:                     … that is gamma = 1 sqrt{1  }

            Should be:        … that is gamma = 1/sqrt{1  }             [i.e., insert slash.]

Page 647, line 9

            Is:                     … 2beta/(1 + beta), so …

            Should be:        … 2beta/(1 + beta2), so …

                                                            [i.e., insert a superscript 2]

Page 667, line 3 from bottom of Problem 15.5

            Is:                     … twins: A stays at ...

            Should be:        … twins: B stays at ...

Page 667, line 2 from bottom of Problem 15.5

            Is:                     … but B occupies ...

            Should be:        … but A occupies ...

Page 751, Answer for Problem 2.13

            Before the first “omega” insert a “plus or minus” sign 

Page 752, Answer for Problem 2.55

            Before the final period, insert the phrase “and distances as multiples of “v_dr/omega”

Page 755, Problem 4.13

            Insert the letter f in the four headers so that they are the same as the present headers in Problem 4.11. 

Also add a fifth column with the header "f  (the symbol " should be bold).  The three entries in the fifth column should be:

             {bold r hat}/r      n rn – 1 {bold r hat}       g’(r) {bold r hat}

 where {bold r hat} stands for a  bold lower case “are” with a circumflex.

Page 762, line 1

            Is:                     … + rdot ·A = ...

            Should be:        … + q rdot ·A = ...

                                                [i.e., insert italic q.  I use rdot to mean r with a dot over it.]

Page 765, Problem 10.13

            Is:                     omega = sqrt{mga/I} ; ...

            Should be:        tau = 2 pi sqrt{I/mga} ;

(The square-root sign should have an overbar extending over all four letters, as in original)

Page 765, Problem 10.57

            Is:                     … (Xdot2 + Ydot2) +...

            Should be:        … (Xdot2 + Ydot2 + R2 thetadot2 sin2 theta) + ...

                                                [where Xdot means X with a dot above it, etc.]

Page 770, last line

            Is:                     … = 4.71

            Should be:        … = 4.69

 

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