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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Textbook Question
Chapter 1, Problem 1.17P
Obtain the cosine law of plane trigonometry by interpreting the product (A − B) · (A − B) and the expansion of the product.
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Your RL circuit has a characteristic time constant of 19.5 ns, and a resistance of 4.60 MQ.
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Your RL circuit has a characteristic time constant of 19.5 ns, and a resistance of 4.60 MQ.
(a) What is the inductance (in H) of the circuit?
H
(b) What resistance (in MQ) should you use (instead of the 4.60 MQ resistor) to obtain a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope?
ΜΩ
At a distance of 0.212 cm from the center of a charged conducting sphere with radius 0.100cm, the electric field is 485 N/C . What is the electric field 0.598 cm from the center of the sphere? At a distance of 0.196 cmcm from the axis of a very long charged conducting cylinder with radius 0.100cm, the electric field is 485 N/C . What is the electric field 0.620 cm from the axis of the cylinder? At a distance of 0.202 cm from a large uniform sheet of charge, the electric field is 485 N/C . What is the electric field 1.21 cm from the sheet?
Chapter 1 Solutions
Classical Dynamics Of Particles And Systems
Ch. 1 - Prob. 1.1PCh. 1 - 1.2. Prove Equations 1.10 and 1.11 from...Ch. 1 - Prob. 1.3PCh. 1 - Show
(a) (AB)t = BtAt (b) (AB)−1 = B−1 A−1
Ch. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Consider a unit cube with one corner at the origin...Ch. 1 - Prob. 1.8PCh. 1 - For the two vectors
find
A − B and |A –...Ch. 1 - A particle moves in a plane elliptical orbit...
Ch. 1 - Prob. 1.11PCh. 1 - Let a, b, c be three constant vectors drawn from...Ch. 1 - X is an unknown vector satisfying the following...Ch. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 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. 1.19PCh. 1 - 1-20. Show that
Ch. 1 - Show (see also Problem 1–11) that
Ch. 1 - Prob. 1.22PCh. 1 - Use the εijk notation and derive the identity
(A ×...Ch. 1 - Prob. 1.24PCh. 1 - Find the components of the acceleration vector a...Ch. 1 - Prob. 1.26PCh. 1 - If r and are both explicit functions of time,...Ch. 1 - Show that
Ch. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 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. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 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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