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 1.11P
To determine
Show that the triple scalar product can be written as
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A pendulum bob A (0.5 kg) is given an initialspeed of vA = 4 m/s when the chord ishorizontal. It then hits a stationary block B (1kg) which then slides to a maximum distanced before it stops. Determine the value of d.The coefficient of static friction between theblock and the plane is μk = 0.2. The coefficientof restitution between A and B is e = 0.8.Ans: d=1.0034 m
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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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- 3. If the force of gravity stopped acting on the planets in our solar system, what would happen? a) They would spiral slowly towards the sun. b) They would continue in straight lines tangent to their orbits. c) They would continue to orbit the sun. d) They would fly straight away from the sun. e) They would spiral slowly away from the sun. 4. 1 The free-body diagram of a wagon being pulled along a horizontal surface is best represented by A F N B C 0 Ꭰ FN E a) A b) B c) C app app The app 10 app d) e) ס ח D E 10 apparrow_forwardPls help ASAParrow_forwardPls help asaparrow_forward
- Pls help asaparrow_forwardThe acceleration of an object sliding along a frictionless ramp is inclined at an angle 0 is 9. a) g tano b) g cose c) g sino 10. d) g e) zero A 1.5 kg cart is pulled with a force of 7.3 N at an angle of 40° above the horizontal. If a kinetic friction force of 3.2 N acts against the motion, the cart's acceleration along the horizontal surface will be a) 5.0 m/s² b) 1.6 m/s² c) 2.4 m/s² 11. d) 1.0 m/s² e) 2.7 m/s² What is the net force acting on an object with a mass of 10 kg moving at a constant velocity of 10 m/s [North]? a) 100 N [North] b) 100 N [South] 10 N [North} d) 10 N [South] e) None of these.arrow_forwardModified True/False - indicate whether the sentence or statement is true or false. If the statement is false, correct the statement to make it true. 12. An object in uniform circular motion has a constant velocity while experiencing centripetal acceleration. 13. An object travelling in uniform circular motion experiences an outward centrifugal force that tends to pull the object out of the circular path. 14. An object with less inertia can resist changes in motion more than an object with more inertia. 15. For an object sliding on a horizontal surface with a horizontal applied force, the frictional force will always increase as the applied force increases.arrow_forward
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