Practical Mathematics for Technical Students Volume 2

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1916 edition. Excerpt: ... wages, coal, etc.) is, in pounds, where s is the speed in knots. Express the total cost of a passage of 3400 nautical miles in terms of s. What value of x will make this total cost a minimum? Show that at speeds 10 per cent. greater or less than this, the total cost is not very much greater than what it is for the best speed. 16._ If 'zu=VC--C2R, where V and R are given, find the value of C in order that 11/ may be a maximum. Hence shew that to get the maximum work per second from a motor, it must run at such a speed as will bring the current to half the value it would have if the motor were at rest. 17. X, Y are two points on a straight shore line distant 8 miles apart. A man in a boat at Z, distant 5 miles from X, wishes to reach Y in the shortest possible time (ZXY is 90). He cannot walk more than 4 miles per hour or row more than 3 miles per hour. At what point P between X and Y should he land? 18. A beam AB of length L is supported at the ends and carries a moving load of amount W uniformly distributed over a length l. Shew that the bending moment at a point C on the beam is_a maximum when C divides the lengths Z and L in the same ratio. 19. In a submarine cable a', D are the diameters of the copper wire and gutta-percha covering respectively. The distance to which signals may be sent varies directly as dzlogg. If D=10, what value ofd is the best? 20. There is a machine consisting of two parts, whose weights are x and _y. The cost of the machine in pounds is 12: r+5y. The power of the machine is proportional to 13/. Find x and y if the cost is 100 and if we desire to have the greatest power possible. _ _ _ (B.E.) 21. Waves in deep water travel with a velocity where A cm. is the distance between successive crests. If...show more

Product details

• Paperback
• 189 x 246 x 4mm | 136g
• United States
• English
• black & white illustrations
• 1236889916
• 9781236889911