## The balancing of engines |

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### Common terms and phrases

acceleration angular velocity axis balance weight balancing masses balancing the reciprocating centrifugal force connecting-rod corresponding couple polygon crank angles crank radius crank-pin crank-shaft cross-head curve cylinder centre lines cylinder engine direction distance drawing driving-wheel engine balanced equal and opposite equations Equivalent mass expression feet fixed foot-lbs foot-tons force acting force and couple force due force polygon four-crank engine instantaneous value line of stroke magnitude mass centre maximum value miles per hour motion number of variables ordinates pair parallel planes of revolution position poundals pounds primary and secondary primary couple problem quantities radii rail-load ratio reciprocating masses reference plane represents respectively resultant revolutions per minute revolving masses right angles rotation scale Schedule secondary couple secondary forces shaft sheave shown in Fig simple harmonic motion solution speed tons trailing wheels triangle turning effort unbalanced couple unbalanced force unity valve-gear vector sum vertical vibration wheel

### Popular passages

Page 2 - Wvl 9 is the angular momentum relatively to the given point. Angular momenta are compounded and resolved like forces, each angular momentum being represented by a line whose length is proportional to the magnitude of the angular momentum, and whose direction is perpendicular to the plane of the motion of the body and of the fixed point, and such, that when the motion of the body is viewed from the extremity of the line, the radius vector of the body seems to have right-handed rotation. The direction...

Page 22 - Proposition 1. — The turning effort of a couple with respect to any axis at right angles to its plane is the same, and is measured by the product of one of the forces and the arm of the couple. Let AB, CD (Fig. 21) be the directions of action of two equal, opposite, and parallel forces, acting upon a rigid body free to turn about the axis, O, at right angles to the plane of the couple.

Page 285 - Demy 8vo, 2S. 6d. net. THE CALCULUS FOR ENGINEERS. By JOHN PERRY. ME, D.Sc., FRS, late Emeritus Professor of Mechanics and Mathematics in the Royal College of Science, London.

Page 22 - DIGRESSION ON THE PROPERTIES OF COUPLES. 19. A Couple. — A couple is the name given to a pair of equal and opposite forces acting in parallel lines. The perpendicular distance between the lines of action of the forces is called the arm of the couple. In Fig. 20 the pair of equal and opposite forces F, acting in parallel lines a feet apart, form a couple whose arm is a feet long.

Page iii - Without undervaluing other modern writers, it is not too much to say that his investigations at present take completely the lead in this very important question — most important to a maritime nation. " Mr. Froude's papers are mainly to be found in the Transactions of the Institution of Naval Architects and of the British Association, as also in separate official reports published in 'Blue Books.

Page 3 - ... lines. In order to produce a long line by this movement it is only necessary to make a succession of short lines with the ends touching each other but not overlapping, or by leaving the smallest possible space between the end of one line and the beginning of the next. The wrist movement produces a longer line and is used naturally to make horizontal lines.

Page 213 - From the linearity of the equations it follows that the motion resulting from the simultaneous action of any number of forces is the simple sum of the motions due to the forces taken separately. Each force causes the vibration proper to itself, without regard to the presence or absence of any others. The peculiarities of a force are thus in a manner transmitted into the motion of the system.

Page 103 - The sign of w is determined by the sign of sine a ; a positive value indicates a diminution of rail-load, a negative sign an increase. If V is the speed of the train in miles per hour, and D the diameter in feet of the driving-wheel, containing the balance weight — _ 2 X 5280V '" 3600D Substituting this in 4, and dividing by 2240 to obtain w in tons weight (m is in pounds...

Page 286 - Association, experience, perception, analysis, generalization, description and explanation, mental development, language and thought, literature, character and conduct follow in this order.

Page 134 - If the number of equations be less than the number of variables, the solution is in general indeterminate " (that is, several solutions are possible). (3) " If the number of independent equations be greater than the number of variables, there is in general no solution, and the system of equations is said to be inconsistent.