Exercises on Mechanics and Natural Philosophy Or An Easy Introduction to Engineering |
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9 ft accumulated acting Æneid applied Arithmetic axis ball beam Book centre of gravity centre of gyration coefficient of friction construct the parallelogram cord crown 8vo cubic feet cubic foot cwts descend diameter direction distance due to friction earth Edition embankment engine equality of moments equation evaporation fathoms feet of water fluid force fulcrum Geography hence History horizontal horse powers inches inclined plane labour last example Latin length lever machine material miles per hour modulus motion moving number of strokes paddle parallelogram of forces perform perpendicular pickmen piston point of overturning post 8vo pulley pump rafter raised Required the H. P. required to find resistance of friction revo rupture screw shovellers space specific gravity speed supposing tension thickness tons traction train units velocity vertical line vis viva vols wall weight
Popular passages
Page 56 - ... when the sum of the moments tending to turn the lever in one direction, is equal to the sum of the moments tending to turn the lever in the opposite direction, then the lever will be in equilibrium.
Page 99 - O". In order, therefore, to establish the remarkable fact that the velocity with which a liquid spouts from an orifice in a vessel is equal to the velocity which a body would acquire in falling unobstructed from the surface of the liquid to the depth of the orifice, it is only necessary to prove the truth of this principle in any one particular case.
Page 127 - Let AD be the direction of the resultant reaction S, so that the angle of friction is BAD. Let this angle be ASince R and pR are the components of S, we have and S sin X = tn.R.
Page 12 - Ph.D. Vol. I. Genesis, 8vo. 18s. or adapted for the General Reader, 12s. Vol. II. Exodus, 15s. or adapted for the General Reader, 12s. Vol III. Leviticus, Part I.
Page 50 - To the sum of the extreme ordinates, add four times the sum of the even ordinates, and two times the sum of the odd ordinates ; then this sum, multiplied by one-third the common distance between the ordinates will give the area.
Page 7 - HISTORY of MODERN MUSIC; a Course of Lectures delivered at the Royal Institution. By JOHN HULLAH, Professor of Vocal Music in King's College and in Queen's College, London. Post 8vo.
Page 67 - The sum of all these parallel forces is evidently the weight of the body. Now there must be a point, where a single force, equal to the weight of the body...
Page 88 - As another familiar example, take a fly-wheel in rapid motion; a portion of the work of the engine must. have gone to produce this motion, and before the engine can come to a state of rest, all the work accumulated in the fly, as well as in the other parts of the machine, must be destroyed. In this way a fly-wheel acts as a reservoir of work. IN ORDER TO ESTIMATE THE WORK IN A MOVING BODY, IT IS SIMPLY NECESSARY TO CONSIDER THE HEIGHT FROM WHICH IT MUST FALL TO ACQUIRE THE GIVEN VELOCITY, AND THEN...
Page 104 - Let OP and OD be the required positions of the crank, and let us suppose P to be the constant pressure of the connecting rod acting always in a vertical line. Put Q for the constant resistance, acting at one foot from the axis of the fly-wheel, equivalent to the work of the engine. " The motion will be accelerated from P to D. This acceleration will commence when the moving pressure is equal to the resisting pressure, and it will cease under the same condition. The former will correspond to the position...
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