## A Treatise on Analytical Statics: The parallelogram of forces. Forces acting at a point. Parallel forces. Forces in two dimensions. On friction. The principle of work. Forces in three dimensions. Graphical statics. Centre of gravity. On strings. The machines |

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angle of friction applied attached axes body catenary centre of gravity circle coefficient of friction components conditions of equilibrium cone coordinates corners couple curvature curve cylinder cylindroid diagonal direction directrix displacement distance edges equations of equilibrium extremities fixed point follows forces acting forces which act fulcrum funicular polygon heavy Hence horizontal plane inclination inclined plane intersection latus rectum length line of action magnitude Math mechanical advantage middle point move normal parabola parallel forces parallelogram of forces particle pegs perpendicular point of application polyhedron position of equilibrium pressure prove pulley quadrilateral radius radius of curvature ratio reactions represented resolved rest resultant right angles rough round screw Show sides smooth statics straight line suppose surface taking moments tangent tension tetrahedron theorem three forces triangle Tripos uniform velocity vertex vertical virtual virtual displacement weight wrench zero

### Popular passages

Page 7 - 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 349 - The efficiency of a machine is the ratio of the useful work done by it to the total work done by the acting force, a.

Page 7 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.

Page 205 - If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.

Page 365 - In the system of pulleys, in which each pulley hangs by a separate string with one end attached to a fixed beam, there are n moveable pulleys of equal weight w.

Page 271 - ... is the length of the path described by the centre of gravity of the area.

Page 352 - The limbs of animals are generally levers of this description. The socket of the bone, a, Fig.

Page 59 - Show that the area of the triangle whose vertices are (4, 6), (2, —4), (—4, 2) is four times the area of the triangle formed by joining the middle points of the sides.

Page 289 - The two straight lines which join the middle points of the opposite sides of a quadrilateral...

Page 146 - A flat semicircular board with its plane vertical and curved edge upwards rests on a smooth horizontal plane, and is pressed at two given points of its circumference by two beams which slide in smooth vertical tubes; find the ratio of the weights of the beams that the board may be in equilibrium.