Elementary Introduction to Practical Mechanics: Illustrated by Numerous ExamplesLongmans, 1870 - 324 pages |
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Page 44
... ( Prop . 16 ) .... H ( W1 + 2 + W3 .... ) = W1h1 + W2h2 + W3h3 + ... Also , let k1 , k2 , k3 .... ( 1 ) be the heights of the weights respectively , after they have been lifted , and K the height of their common centre of gravity ; then K ...
... ( Prop . 16 ) .... H ( W1 + 2 + W3 .... ) = W1h1 + W2h2 + W3h3 + ... Also , let k1 , k2 , k3 .... ( 1 ) be the heights of the weights respectively , after they have been lifted , and K the height of their common centre of gravity ; then K ...
Page 70
... Props . - Let A B represent a beam or prop resting on a fixed support at the end a ; and suppose it to be acted on by certain pressures which are balanced by the reaction of the end A. That part of the reaction which acts along the axis ...
... Props . - Let A B represent a beam or prop resting on a fixed support at the end a ; and suppose it to be acted on by certain pressures which are balanced by the reaction of the end A. That part of the reaction which acts along the axis ...
Page 71
... prop 25 ft . long , resting against a point 3 ft . from the top ; determine the thrust on the Ans . 7758 lbs . FIG . 37 . P C prop . [ If the annexed figure represent a section of the wall and prop , the forces acting are w , the weight ...
... prop 25 ft . long , resting against a point 3 ft . from the top ; determine the thrust on the Ans . 7758 lbs . FIG . 37 . P C prop . [ If the annexed figure represent a section of the wall and prop , the forces acting are w , the weight ...
Page 79
... Prop . 3 , that the proposition is true of equal forces , i.e. of any pair p and p , and of another equal pair p and ... Prop . 4 no longer proceeds from an assumption , but is based directly on Prop . 3 ; and the reasoning in ...
... Prop . 3 , that the proposition is true of equal forces , i.e. of any pair p and p , and of another equal pair p and ... Prop . 4 no longer proceeds from an assumption , but is based directly on Prop . 3 ; and the reasoning in ...
Page 80
... Prop . 4 , will find it a useful exer- cise to write out the proof in this form . MP . Proposition 5 . The principle of the parallelogram of forces is true of the direction of the resultant of any two incommen- surable forces . Let ...
... Prop . 4 , will find it a useful exer- cise to write out the proof in this form . MP . Proposition 5 . The principle of the parallelogram of forces is true of the direction of the resultant of any two incommen- surable forces . Let ...
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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