EBK CLASSICAL DYNAMICS OF PARTICLES AND
5th Edition
ISBN: 9780357886113
Author: Marion
Publisher: VST
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Chapter 1, Problem 1.7P
Consider a unit cube with one corner at the origin and three adjacent sides lying along the three axes of a rectangular coordinate system. Find the vectors describing the diagonals of the cube. What is the angle between any pair of diagonals?
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Three point-like charges are placed at the corners of a square as shown in the figure, 28.0
cm on each side. Find the minimum amount of work required by an external force to move
the charge q1 to infinity. Let q1=-2.10 μC, q2=+2.40 μС, q3=+3.60 μC.
Chapter 1 Solutions
EBK CLASSICAL DYNAMICS OF PARTICLES AND
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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- A point charge of -4.00 nC is at the origin, and a second point charge of 6.00 nC is on the x axis at x= 0.820 mm . Find the magnitude and direction of the electric field at each of the following points on the x axis. x2 = 19.0 cmarrow_forwardFour point-like charges are placed as shown in the figure, three of them are at the corners and one at the center of a square, 36.0 cm on each side. What is the electric potential at the empty corner? Let q1=q3=+26.0 µС, q2=-28.0 μC, and q4=-48.0μc Varrow_forwardPLS HELparrow_forward
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