This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1921 Excerpt: ...The equations may also be used if only a component, in a given direction, of the motion is considered, provided that s, v, and a in the above equations be replaced by the components of displacement, velocity, and acceleration, respectively, in the given direction. Thus, The relations between the displacement, velocity, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1921 Excerpt: ...The equations may also be used if only a component, in a given direction, of the motion is considered, provided that s, v, and a in the above equations be replaced by the components of displacement, velocity, and acceleration, respectively, in the given direction. Thus, The relations between the displacement, velocity, acceleration, and the time, may, in general, be determined from the above equations by either of two methods; namely, by solving the equations by the methods of calculus, or by a graphical method through the use of distance-time, velocity-time, and acceleration-time graphs. The use of distance-time and speed-time graphs in finding the speed and acceleration, respectively, have been discussed in Arts. 113 and 119. The more convenient of the two methods for any given problem depends upon the character of the problem. Calculus Method.--Equations (1) to (7) may be solved by the methods of calculus provided that certain relations between the variables are known. Thus, if s is expressed as a function of t, the velocity v may be obtained from equation (1). Likewise, if v is expressed as a function of s, the time required for a given displacement may be obtained from equation (5), and so on. ILLUSTRATIVE PROBLEMS 309. A point moves along a straight path according to the law, t) = 32]4, the units of distance and time being the foot and second, respectively. If 8=0 when t = 0, what is the value of s when t = 10 sec? 310. A point moves along a curved path according to the law at = 10t+5. If t) = 10 ft./sec. when i = 4 sec, what is the value of v when 1 = 7 sec? Solution. First Method: Hence, Av=J-it= Jl0l+5)dt = &S+5J = 180 ft./sec. Hence, the gain in speed in the interval between the end of the fourth second and the end of the seventh second i...
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Very good. 5th edition. Black cloth with white titles. no dj, light soiled, clean and tight pages, some notations on back cover 100% of this purchase will support literacy programs through a nonprofit organization!
Add this copy of Analytical mechanics for engineers to cart. $15.00, good condition, Sold by Simpler Times Revival, ships from huntington beach, CA, UNITED STATES, published 1948 by Wiley: Chapman & Hall, limited.
