\fdO'^ - Old Forge Coal Mines

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180 ELEMENTARY MECHANICS. a distance from C^, according to formula 20 (Art. 911) 8X , ^ C^C, 8 X 8.013 . ,, ^ ^ O.I • = = -^^1 ^"- ^. ^= -341 m. "^"^^ '^ ^80 + 8^ 188 BC=BC^- C^C=d.89S - .34:1 = 0. 557 inches. Ans. (423) (^) In one revolution the power will have moved through a distance of 2 X 15 X 3.1416 = 94.248', and the 1" weight will have been lifted . j The 94.248 H-^ = 376.992. 4 37G.992 X 25 = 9,424.8 lb. Ans. {a) 9,424.8 - 5,000 = 4,424.8 lb. Ans. {c) 4,424.8 -^ 9,424.8 = 46.95^. Ans.. (424) See Arts. 920 and 922. velocity ratio is then (425) Construct the prism ABED, Fig. 33. From £, draw the line £ F. Find the center of gravity of the Horizontal G Fig. 83. rectangle, which is at C,, and that of the triangle, which is i
at C^. . Connect ELEMENTARY MECHANICS. Igl these centers of gravity by the straight line C^ C^ and find the common center of gravity of the body by the rule to be at C. Having found this center, draw the line of direction C G. If this line falls within the base, the body will stand, and if it falls without, it will fall. (426) {a) 5 ft. 6 in. = 66'. 66 -^ 6 = 11 = velocity ratio, Ans. {b) 5 X 11 = 55 lb. Ans. (427) 55 X .65 = 35.75 lb. Ans. 35 X 60 (428) Apply formula 20. 5 ft. = 60'. 180 + 35 9.7674 in., nearly, = distance from the large weight. Ans. (429) {a) 1,000^50 = 20, velocity ratio. Ans. See Art. 945. 10 fixed and 10 movable. (
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c c c tec C €
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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)
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ALGEBRA. (QUESTIONS 218-257.) (218)
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ALGEBRA. 117 Clearing of fractions,
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ALGEBRA. 119 Transposing, — A:X*
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Completing the square, ALGEBRA. 131
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Extracting ALGEBRA. 123
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(d) Completing the square, Extracti
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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 178 and 179: 166 ELEMENTARY MECHANICS. per min.
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 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
Page 228 and 229: 21G STRENGTH OF MATERIALS. c \d of
Page 230 and 231: 218 STRENGTH OF MATERIALS. n o. I//
Page 232 and 233: 220 STRENGTH OF MATERIALS. Substitu
Page 234 and 235: 222 STRENGTH OF MATERIALS. (589) Su
Page 236 and 237: 224 STRENGTH OF MATERIALS. (597) {a
Page 238 and 239: 226 STRENGTH OF MATERIALS. (d) In t
Page 240 and 241: 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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