Elementary MechanicsMacmillan, 1850 - 252 pages |
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Common terms and phrases
accelerating force action of gravity annexed figure axis beam body centre of gravity centripetal force circle coefficient of friction counteract couple curve cycloid cylinder diagonal distance draw equal and opposite equation equi exerted extremity force of gravity forces acting ft² fulcrum hence horizontal plane inclined plane indefinitely small instant interval Law of Motion length lever magnitude and direction mass measure meet middle point normal force P₁ P₂ P₂P₂ parabola parallel forces parallelogram described parallelogram of forces particle pass perpendicular point of application point of contact position of equilibrium power and weight produced proportional proposition pulley Q acting radius reaction represent respectively rest resultant shew sides smooth space sphere Statics straight line string supposed surface tension three forces triangle ABC uniform unit vertex virtual velocities W₁ W₂ Wacting
Popular passages
Page 31 - Two equal circular disks with smooth edges, placed on their flat sides in the corner between two smooth vertical planes inclined at a given angle, touch each other in the line bisecting the angle. Find the radius of the least disk which may be pressed between them without causing them to separate. LXXIV. If two scales, one containing a weight P and the other a weight Q, be suspended by a string over a rough sphere, Q2...
Page 157 - A smooth body in the form of a sphere is divided into hemispheres and placed with the plane of division vertical upon a smooth horizontal plane; a string loaded at its extremities with two equal weights hangs upon the sphere, passing over its highest point and cutting the plane of division at right angles ; find the least weight which will preserve the equilibrium.
Page 170 - A cubical box is half filled with water and placed upon a rough rectangular board, so as to have the edges of its base parallel to those of the rectangle ; if the board be slowly inclined to the horizon, determine whether the box will slide down or topple over.
Page 151 - A cone of given weight W is placed with its base on an inclined plane, and supported by a weight W which hangs by a string fastened to the vertex of the cone and passing over a pulley in the inclined plane at the same height as the vertex.
Page 169 - ... must be considered to be acting on a minute portion of string in contact with the peg. The pressure of the peg will obviously be vertically upwards and equal to the weight of everything below, ie W. These two sets of forces are the same ultimately, but should not be confused. 21. Two equal weights P are attached to the ends of two strings which pass over the same smooth peg and have their other ends attached to the ends of a beam. If a and...
Page 108 - In a combination of wheels and axles, in which the circumference of each axle is applied to the circumference of the next wheel, and in which the ratios of the radii of the wheels and axles 170 STATICS.
Page 35 - The moment of a force about a given point is the product of the force and the perpendicular drawn from the given point upon the line of action of the force. Thus the moment of a force...
Page 39 - ... about any point in the plane is equal to the sum of the moments of the separate forces about that point.