Classical Dynamics Of Particles And Systems

5th Edition

ISBN: 9788131518472

Author: Stephen T. Thornton, Jerry B. Marion

Publisher: Cengage Learning India

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The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot mov…

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Textbook Question

Chapter 1, Problem 1.31P

Show that

(a) ∇ r n = n r ( n − 2 ) r

(b) ∇ f ( r ) = r r d f d r

(c) ∇ 2 ( ln r ) = 1 r 2

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Chapter 1, Problem 1.30P

Chapter 1, Problem 1.32P

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Chapter 1 Solutions

Classical Dynamics Of Particles And Systems

Ch. 1 - Prob. 1.1P Ch. 1 - 1.2. Prove Equations 1.10 and 1.11 from...Ch. 1 - Prob. 1.3P Ch. 1 - Show (a) (AB)t = BtAt (b) (AB)−1 = B−1 A−1 Ch. 1 - Prob. 1.5P Ch. 1 - Prob. 1.6P Ch. 1 - Consider a unit cube with one corner at the origin...Ch. 1 - Prob. 1.8P Ch. 1 - For the two vectors find A − B and |A –...Ch. 1 - A particle moves in a plane elliptical orbit...

Ch. 1 - Prob. 1.11P Ch. 1 - Let a, b, c be three constant vectors drawn from...Ch. 1 - X is an unknown vector satisfying the following...Ch. 1 - Prob. 1.14P Ch. 1 - Prob. 1.15P Ch. 1 - What surface is represented by r a = const, that...Ch. 1 - Obtain the cosine law of plane trigonometry by...Ch. 1 - Obtain the sine law of plane trigonometry by...Ch. 1 - Prob. 1.19P Ch. 1 - 1-20. Show that Ch. 1 - Show (see also Problem 1–11) that Ch. 1 - Prob. 1.22P Ch. 1 - Use the εijk notation and derive the identity (A ×...Ch. 1 - Prob. 1.24P Ch. 1 - Find the components of the acceleration vector a...Ch. 1 - Prob. 1.26P Ch. 1 - If r and are both explicit functions of time,...Ch. 1 - Show that Ch. 1 - Prob. 1.29P Ch. 1 - Prob. 1.30P Ch. 1 - Show that (a) (b) (c) Ch. 1 - Show that (2arr+2brr)dt=ar2+br2+const. where r is...Ch. 1 - Show that (rrrrr2)dt=rr+C where C is a constant...Ch. 1 - Prob. 1.34P Ch. 1 - Prob. 1.35P Ch. 1 - Prob. 1.36P Ch. 1 - Prob. 1.37P Ch. 1 - Prob. 1.38P Ch. 1 - A plane passes through the three points (x, y, z)...Ch. 1 - For what values of a are the vectors A = 2ai − 2j...

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Show that (a) ∇ r n = n r ( n − 2 ) r (b) ∇ f ( r ) = r r d f d r (c) ∇ 2 ( ln r ) = 1 r 2

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Chapter 1 Solutions