Mechanics for Engineers: A Text-book of Intermediate Standard

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Longmans, Green & Company, 1920 - Mechanical engineering - 290 pages
 

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Page 27 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 125 - The perpendicular distance between the lines of action of the two forces is called the arm, and the product of one of the forces and the arm is called the moment of the couple.
Page 93 - If three forces keep a particle in equilibrium, each is proportional to the sine of the angle between the other two.
Page 30 - Ibs. as our unit of mass, where g is the acceleration of gravity in feet per second per second in some fixed place; the number 32-2 is correct enough for most practical purposes for any latitude. This unit, as previously stated, is sometimes called the engineers
Page 135 - A ladder 18 feet long rests with its upper end against a smooth vertical wall, and its lower end on rough ground 7 feet from the foot of the wall. The weight of the ladder is 40 Ibs., which may be looked upon as a vertical force halfway along the length of the ladder.
Page 182 - Quldinus or Pappus.- — (a) The area of the surface of revolution swept out by any plane curve revolving about a given axis in its plane is equal to the length of the curve multiplied by the length of the path of its eg in describing a circle about the axis. Suppose the curve ABC (Fig. 151) revolves about the axis OO', thereby generating a surface of revolution of which OO
Page 55 - ... (M) about O is F . r Ib.-feet. Suppose that the force F acts successively on different parts of the body all distant r from the axis O about which it rotates, or that the force acts always on the same point C, and changes its direction as C describes its circular path about the centre O, so as to always remain tangential to this circular path ; in either case the force F is always in the same direction as the displacement it is producing, and therefore the work done is equal to the product of...
Page 72 - This name is applied to a combination consisting of a small weight fastened to one end of a string, the other end of which is attached to...
Page 214 - With a suitable choice of units, the rate of change of angular momentum is equal to the moment of the applied forces, or torque about the axis.
Page 53 - The moment of a force about any point is the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force.

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