A Short and Easy Course of Algebra

A Short and Easy Course of Algebra

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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. 1851 edition. Excerpt: ...x-n-5n; that is, the hands are together at 5-min. past one. Prob. 16. The distance from Manchester to Liverpool by rail is 31 miles; the express down-train leaves Manchester at 11.30 A.m. and arrives at Liverpool at 12.30; the up-train leaves Liverpool at 11.45 A.m. and arrives at Manchester at 12.35. Both trains perform the whole journeywithout stopping at any intermediate station; supposing the speed of each to be uniform, find where they will meet. Let x be the number of miles from Manchester to the place of meeting, then 31--.r = the number of miles from Liverpool to the place of meeting. Now since the down-train travels 31 miles in 60 min., it travels the 60th part of that distance in 1 min., that is, -7TT miles. 60 311 Similarly, the up-train travels-miles per min., therefore the number of minutes in which the down-train.., number of miles 31A performs x miles = =: = x-f--=, 1 number per minute 60 and the number of minutes in which the up-train per 311 forms 31--x miles = (3l --x)-f---3. But the down train starts 15 min. before the up-train;.. time of down-train for x miles = time of up-train for Prob. 17. Supposing (as is proved in Treatises on Mechanics) that the effect of a power or weight, acting at right angles to a straight lever, to turn it round its fulcrum, is measured by that power or weight multiplied by its distance from the fulcrum, find where the fulcrum must be placed to enable a man to move a bale of goods weighing 552 lbs. by means of a lever 6 feet long, and exerting a power equal to 24 lbs. only. Let AB represent the lever, the A F B power being applied at B to raise ' ' the weight at A; and supposing Fthe fulcrum, let AF = x; then BF = 6--x feet; and, by the question, 552 x x = the effect of the Weight on...show more

Product details

  • Paperback | 30 pages
  • 189 x 246 x 2mm | 73g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236575989
  • 9781236575982