\fdO'^ - Old Forge Coal Mines

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166 ELEMENTARY MECHANICS. per min. of drum. The diameter of the pulley divided by Fig. 20. 3 the diameter of the fly-wheel = -, which multiplied by 42.44 = 31.83 revolutions per min. of fly-wheel. (359) (360) (361) See Arts. 857 and 859. See Art. 861. See Arts. 843 and 871. (362). See Art. 871. Ans. (363) See Arts. 842, 886, 887, etc. The relative weight of a body is found^by comparing it with a given standard by means of the balance. The absolute weight is found by noting the pull which the body will exert on a spring balance. The absolute weight increases and decreases according to the laws of weight given in Art. 890 ; the relative weight is always the same. (364) (365) See Art. 861. See Art. 857.
(366) ELEMENTARY MECHANICS. 167 See Art. 857. (367) If the mountain is at the same height above, and the valley at the same depth below sea-level respectively, it will weigh more at the bottom of the valley. (368) ^^ = 6 miles. Using formula 12,d' :I^:: u/ u ^'^ 3,960' X 20,000 ,^ ^^n
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( W v. 5 Copyright, 1897, by The Co
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Arithmetic, - CONTENTS Algebra, Log
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i ARITHMETIC. of tens. 1 + 8 + 7 +
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4 ARITHMETIC. and the difference (4
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ARITHMETIC. (c) 217 Multiply any tw
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8 ARITHMETIC. 72 in the dividend an
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10 ARITHMETIC. (70 X 50 X 24 X 20).
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12 ARITHMETIC, The 5 in the dividen
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14 ARITHMETIC. (22) (a) 576) 589824
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16 ARITHMETIC. (33) To reduce a fra
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18 ARITHMETIC. 3 3 (e) 15-r-7-43-=
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20 ARITHMETIC. (41) ,9| + 50i + 41+
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22 ARITHMETIC. (45) The man evident
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24 ARITHMETIC. • u s o e 3 2 o 93
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26 ARITHMETIC. {b) Here again the p
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28 ARITHMETIC. 64) 1.000000(. 01562
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30 ARITHMETIC. (66) In subtraction
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38 ARITHMETIC. (6) .875 — 5-=? Re
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84 ARITHMETIC. {c) First perform th
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36 ARITHMETIC. Reducing 387 387 to
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38 ARITHMETIC. nominator of the fra
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40 ARITHMETIC. (d) Base = percentag
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42 ARITHMETIC. Another method of so
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44 ARITHMETIC. (89) Here we have gi
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46 ARITHMETIC. 24 ) 13750 gr. 20 )
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48 ARITHMETIC. (98) Reduce the grai
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50 ARITHMETIC. contained times in 3
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gal.
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54 ARITHMETIC. (108) In multiplicat
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56 ARITHMETIC. Since there are 24 g
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58 ARITHMETIC. There are 100 lb. in
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60 ARITHMETIC. 62 is contained in 1
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63 ARITHMETIC. (121) (a) 106' = 106
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64 ARITHMETIC. (^) .4044* = .4044 X
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6G ARITHMETIC. Since there are 2 de
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68 ARITHMETIC. (128) {a) .0133' =.0
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70 ARITHMETIC (130^ (a) 1 1 20 _8 2
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72 ARITHMETIC. in the root. Write i
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74 ARITHMETIC. (^) 9 -/QO.OO'OO'OO
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76 ARITHMETIC. correction. This, mu
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78 ARITHMETIC. found by division sh
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80 ARITHMETIC. (137) {a) 1 1 f .0 6
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82 ARITHMETIC. (138^ {a) In this ex
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84 ARITHMETIC. (^)
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86 ARITHMETIC. {b) f 6 = VTa 2 4/G.
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88 8 8 ARITHMETIC.
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90 ARITHMETIC. 40,000 144)40000.0(2
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92 ARITHMETIC. (163) 2 ft. 5 in. =
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94 ARITHMETIC. (164) Taking the tim
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96 ALGEBRA. (171) See Arts. 352 and
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98 ALGEBRA. In this case, where we
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100 ALGEBRA. By Art. 482, the signs
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102 ALGEBRA. (189) Applying the met
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104 ALGEBRA. (196) {a) ^+_;/ + ^-(^
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106 ALGEBRA- (201 ) The subtraction
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108 ALGEBRA. Canceling the factors
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110 ALGEBRA. (208) (a) Writing the
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112 ALGEBRA. 20j^(4^+5)-12.r(3:r-7)
Page 127 and 128: ALGEBRA. (QUESTIONS 218-257.) (218)
Page 129 and 130: ALGEBRA. 117 Clearing of fractions,
Page 131 and 132: ALGEBRA. 119 Transposing, — A:X*
Page 133 and 134: Completing the square, ALGEBRA. 131
Page 135 and 136: Extracting ALGEBRA. 123
Page 137 and 138: (d) Completing the square, Extracti
Page 139 and 140: ALGEBRA. 127 (238) (a) i/| by Art.
Page 141 and 142: (242) ALGEBRA. 139 Let X = the whol
Page 143 and 144: (246) Then,-^ X ALGEBRA. 131 Let X
Page 145 and 146: ALGEBRA. 133 y+5-{x-o) = 6. (1) But
Page 147 and 148: ALGEBRA. 136 (266) Let X — the nu
Page 149 and 150: LOGARITHMS. (QUESTIONS 258-272.) (2
Page 151 and 152: l^OGARITHMS. 139 .6602 -3 — 1.980
Page 153 and 154: LOGARITHMS. 141 {l>) .76'"._ Log .7
Page 155: LOGARITHMS. 143 (271) Substituting
Page 158 and 159: 140 GEOMETRY AND TRIGONOMETRY. in t
Page 160 and 161: 148 GEOMETRY AND TRIGONOMETRY. 3 (2
Page 162 and 163: 150 GEOMETRY AND TRIGONOMETRY. (302
Page 166 and 167: 154 GEOMETRY AND TRIGONOMETRY. draw
Page 170 and 171: 158 GEOMETRY AND TRIGONOMETRY. {d)
Page 176 and 177: 1G4 GEOMETRY AND TRIGONOMETRY. (354
Page 180 and 181: 168 ELEMENTARY MECHANICS. replaced,
Page 182 and 183: 170 ELEMENTARY MECHANICS. (384) (a)
Page 184 and 185: 172 ELEMENTARY MECHANICS. (389) See
Page 186 and 187: 174 ELEMENTARY MECHANICS. (398) 1 h
Page 188 and 189: 176 ELEMENTARY MECHANICS (412) Use
Page 192 and 193: 180 ELEMENTARY MECHANICS. a distanc
Page 196 and 197: 184 ELEMENTARY MECHANICS. (d) Using
Page 198 and 199: 186 ELEMENTARY MECHANICS. (452) (a)
Page 200 and 201: 188 HYDROMECHANICS. (457) (a) Area
Page 202 and 203: 190 HYDROMECHANICS. Pressure due to
Page 204 and 205: 192 HYDROMECHANICS. (47 1 ) (a) 36
Page 206 and 207: 194 HYDROMECHANICS. 5' X 7854 (479)
Page 208 and 209: 196 HYDROMECHANICS. (d) See Art. 10
Page 210 and 211: 198 HYDROMECHANICS. Pressure per sq
Page 212 and 213: aOO HYDROMECHANICS. For z;„ = 4,/
Page 214 and 215: 202 PNEUMATICS. (509) Substituting
Page 216 and 217: 204 PNEUMATICS. (519) 8.47 = origin
Page 218 and 219: 206 PNEUMATICS. (537) (a) 30 — 17
Page 220 and 221: 208 PNE-aMATlCS. (548) CO' — 50'
Page 222 and 223: 210 STRENGTH OF MATERIALS. P- p-^^.
Page 224 and 225: 212 STRENGTH OF MATERIALS. Since 40
Page 226 and 227: 214 STRENGTH OF MATERIALS. drawn. P
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21G STRENGTH OF MATERIALS. c \d of
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218 STRENGTH OF MATERIALS. n o. I//
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220 STRENGTH OF MATERIALS. Substitu
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222 STRENGTH OF MATERIALS. (589) Su
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224 STRENGTH OF MATERIALS. (597) {a
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226 STRENGTH OF MATERIALS. (d) In t
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228 STRENGTH OF MATERIALS. (604) Us
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230 STRENGTH OP MATERIALS. (609) Th
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232 STRENGTH OF MATERIALS. moments
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234 SURVEYING. adjacent sides of th
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236 SURVEYING. (622) 1st. A B in Fi
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238 SURVEYING. true bearing IS the
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240 SURVEYING. A B, as the bearing
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Un SURVEYING. an angle of 15° 10'
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244 SURVEYING. in dotted lines. In
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246 SURVEYING. table of Radii and D
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248 SURVEYING. ^^^ = 1.875'. The de
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. (690) 250 SURVEYING. sight to the
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252 SURVEYING. and including that a
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254 SURVEYING. horizontal lines 1 f
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(706) LAND SURVEYING (QUESTIONS 706
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LAND SURVEYING. 259 ture of A B is
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LAND SURVEYING. 261 -{-, in the col
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LAND SURVEYING. 263 is +8.86 chains
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a a *• o « .i Q a V Q + • hJ *
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LAND SURVEYING. 2G7
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RAILROAD LOCATION. (756) (QUESTIONS
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RAILROAD LOCATION. 271 second curve
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RAILROAD LOCATION. 273 in which;!'
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RAILROAD LOCATION. 275 Whence, we h
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RAILROAD LOCATION. 277 4.0827 ft.,
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point so determined by RAILROAD LOC
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282 RAILROAD CONSTRUCTION. (818) Th
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884 RAILROAD CONSTRUCTION. (833) Ap
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286 RAILROAD CONSTRUCTION. (859) Fi
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288 RAILROAD CONSTRUCTION. (864) (8
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RAILROAD CONSTRUCTION. (QUESTIONS 8
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RAILROAD CONSTRUCTION. 293 (896) Se
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RAILROAD CONSTRUCTION. 295 (a) The
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RAILROAD CONSTRUCTION. 207 (939) Se
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300 TRACK WORK. (962) (963) (964) (
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302 TRACK WORK. (994) See Art. 1687
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304 TRACK WORK. (1008) 8 ft. G in.
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306 RAILROAD STRUCTURES. (1039) See
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308 RAILROAD STRUCTURES. (1060) Fro
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3," ^ >;> :3 3>32> ^ >:> J> Oi?^ :>
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UNIVERSrTY OF ILLINOIS-URBANA 3 011
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