Elementary Introduction to Practical Mechanics: Illustrated by Numerous ExamplesLongmans, 1870 - 324 pages |
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Page 21
... equation from which the unknown quantity can be readily determined . Ex . 76. An engine is required to raise a weight of 13 cwts . from a depth of 140 fathoms in 3 minutes ; determine its horse - power . Let x be the required horse ...
... equation from which the unknown quantity can be readily determined . Ex . 76. An engine is required to raise a weight of 13 cwts . from a depth of 140 fathoms in 3 minutes ; determine its horse - power . Let x be the required horse ...
Page 44
... ... ; therefore the right hand side of equation ( 3 ) gives the aggregate work expended in lifting them ; hence that work is equal to ( к - н ) ( W1 + 2 + W3 ... . ) , i . e . to the work that must be 44 PRACTICAL MECHANICS .
... ... ; therefore the right hand side of equation ( 3 ) gives the aggregate work expended in lifting them ; hence that work is equal to ( к - н ) ( W1 + 2 + W3 ... . ) , i . e . to the work that must be 44 PRACTICAL MECHANICS .
Page 87
... equations can be included in one , viz . R = P + Q It is quite plain the ( 4 ) includes ( 1 ) and ( 2 ) ; it also includes ( 3 ) , since that equation can be written -R = P - Q The same principle can be applied to the moments of forces ...
... equations can be included in one , viz . R = P + Q It is quite plain the ( 4 ) includes ( 1 ) and ( 2 ) ; it also includes ( 3 ) , since that equation can be written -R = P - Q The same principle can be applied to the moments of forces ...
Page 97
... equation gives R and the latter r . Cor . 1. Let the resultant of P2 , P3 , .... be r ' , and let its direction cut o a at a distance from o equal to r ; then it will be necessary and sufficient for the equilibrium of P1 , P2 , P39 ...
... equation gives R and the latter r . Cor . 1. Let the resultant of P2 , P3 , .... be r ' , and let its direction cut o a at a distance from o equal to r ; then it will be necessary and sufficient for the equilibrium of P1 , P2 , P39 ...
Page 98
... equations will be satisfied , and on the other hand if the above equations are satisfied the forces will be in equilibrium . Cor . 2. If the equations when formed lead to the fol- lowing result , and P1 + P2 + P3 + ・・・・ 0 P1P1 + ...
... equations will be satisfied , and on the other hand if the above equations are satisfied the forces will be in equilibrium . Cor . 2. If the equations when formed lead to the fol- lowing result , and P1 + P2 + P3 + ・・・・ 0 P1P1 + ...
Common terms and phrases
ABCD angle of resistance angular angular velocity axis axle beam body brickwork cast iron centre of gravity circle circumference coefficient of friction Crown 8vo cubic foot curve cylinder described determine the number diameter direction distance draw Edition engine epicycloid equal equation equilibrium expended extrados forces acting formula friction frustum given hence horizontal horse-power inclined inclined plane last Example length limiting angle magnitude mass middle point minute modulus moment of inertia motion moving number of units oscillation P₁ parallel forces passing perpendicular plane pressure principle principle of moments Prop pulley R₁ radius raised reaction represent respectively rest resultant right angles rope round screw sliding space square inch steam suppose surface teeth thick thread tion triangle vertical vols wall weight wheel Woodcuts wrought iron
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