Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Chapter 1, Problem 1.27P
If r and
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Consider two vectors, A
= 16.1 m at 44.0°, and B = (-9.70î + 3.70ĵ)
Determine the x and y components of A:
Ax =
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Determine the x and y components of B:
B.
X.
m
m
H
B
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А.
Determine H and express it in unit vector form.
Let
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Determine the magnitude and direction of
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H=
m at
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I need the answer to D
Why is (j + k) = i?I see that i x i = 0, that makes sense. But I thought that j x k = i? not j + k.
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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- If a is a constant vector, show that ax (Vx 7) à = a, î + a, î + a, k, 7=nî+rŷ+gk -> ах V(a.r)-(a.V) r. r = ; i +, j+r,karrow_forwardWhich of the following is not true? ○ V1 (1) V2 (2) = V₁ (2) √₂ (1) ○ V1 (1) V2 (2) + $1 (2) 42 (1) = V1 (2) √2 (1) + V1 (1) ½₂ (2) O All equations are true. O All equations are incorrect. ○ V1 (1) V₂ (2) — V₁ (2) V₂ (1) − −V1 (2) V₂ (1) + V1 (1) √2 (2) =arrow_forwardVector v = <-4,4> and vector w = <-2,-1>. Draw the vector v+w and give its component form.arrow_forward
- Problem 4: Two points in a plane have polar coordinates P1(2.4 m, Jt/6) and P2(3.8 m, 2jt/3). P1(, y) m 20% Part (a) Determine the x value of the Cartesian coordinates for Pj.arrow_forwardGiven that the acceleration vector is a(t)=(−16cos(−4t))i+(−16sin(−4t))j+(1t)k, the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute: A. The velocity vector v(t) B. The position vector r(t)arrow_forward1.5 Scalars and Vectors A vector has magnitude 12.7. Rounding off, which pair of components could not produce this vector? O 10.2, 5.5 O 9.6, 8.3 O 12.2, 3.5 O 6.3, 11.0 O 7.1, 10.5 Save for Later Subr Cal_Fall.pdf X Parrow_forward
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