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 1.4P
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(a) (AB)t = BtAt (b) (AB)−1 = B−1 A−1
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A particle with a charge of − 5.20 nC is moving in a uniform magnetic field of (B→=−( 1.22 T )k^. The magnetic force on the particle is measured to be(F→=−( 3.50×10−7 N )i^+( 7.60×10−7 N )j^. Calculate the scalar product v→F→. Work the problem out symbolically first, then plug in numbers after you've simplified the symbolic expression.
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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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- A man slides two boxes up a slope. The two boxes A and B have a mass of 75 kg and 50 kg, respectively. (a) Draw the free body diagram (FBD) of the two crates. (b) Determine the tension in the cable that the man must exert to cause imminent movement from rest of the two boxes. Static friction coefficient USA = 0.25 HSB = 0.35 Kinetic friction coefficient HkA = 0.20 HkB = 0.25 M₁ = 75 kg MB = 50 kg P 35° Figure 3 B 200arrow_forwardA golf ball is struck with a velocity of 20 m/s at point A as shown below (Figure 4). (a) Determine the distance "d" and the time of flight from A to B; (b) Determine the magnitude and the direction of the speed at which the ball strikes the ground at B. 10° V₁ = 20m/s 35º Figure 4 d Barrow_forwardThe rectangular loop of wire shown in the figure (Figure 1) has a mass of 0.18 g per centimeter of length and is pivoted about side ab on a frictionless axis. The current in the wire is 8.5 A in the direction shown. Find the magnitude of the magnetic field parallel to the y-axis that will cause the loop to swing up until its plane makes an angle of 30.0 ∘ with the yz-plane. Find the direction of the magnetic field parallel to the y-axis that will cause the loop to swing up until its plane makes an angle of 30.0 ∘ with the yz-plane.arrow_forward
- A particle with a charge of − 5.20 nC is moving in a uniform magnetic field of (B→=−( 1.22 T )k^. The magnetic force on the particle is measured to be (F→=−( 3.50×10−7 N )i^+( 7.60×10−7 N )j^. Calculate the y and z component of the velocity of the particle.arrow_forwardneed answer asap please thank youarrow_forward3. a. Determine the potential difference between points A and B. b. Why does point A have a higher potential energy? Q = +1.0 C 3.2 cm 4.8 cm Aarrow_forward
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