A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |
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Page 53
... horizontal position with its ends on two props will be in equilibrium ; but a chain , or a rod with a joint in the middle , so placed would fall . Hence then in equilibrium flexible and jointed bodies satisfy all the conditions which ...
... horizontal position with its ends on two props will be in equilibrium ; but a chain , or a rod with a joint in the middle , so placed would fall . Hence then in equilibrium flexible and jointed bodies satisfy all the conditions which ...
Page 71
... horizontal plane ; and it is evident , since the Earth is spherical , that the horizontal plane changes its position in passing from place to place : but since the distances of the bodies of systems usually treated of in STATICS are ...
... horizontal plane ; and it is evident , since the Earth is spherical , that the horizontal plane changes its position in passing from place to place : but since the distances of the bodies of systems usually treated of in STATICS are ...
Page 90
... horizontal plane ; the altitude of the centre of gravity above the same plane ; g the accelerating force of gravity ; then m1g , m2g , mg ... are the forces acting upon the par- ticles of the system . Let now the system be disturbed in ...
... horizontal plane ; the altitude of the centre of gravity above the same plane ; g the accelerating force of gravity ; then m1g , m2g , mg ... are the forces acting upon the par- ticles of the system . Let now the system be disturbed in ...
Page 92
... horizontal , provided the body be pre- vented from sliding by the roughness of the plane , or any equivalent cause . 172. If a body be placed on points , instead of a flat base , it will stand or fall according as a vertical through its ...
... horizontal , provided the body be pre- vented from sliding by the roughness of the plane , or any equivalent cause . 172. If a body be placed on points , instead of a flat base , it will stand or fall according as a vertical through its ...
Page 135
... horizontal direction parallel to that in which P acts . Now the inclined plane on which W rests , by means of the nut , is only BH wrapped round the cylinder ; its inclination to the horizon or base of the cylinder is therefore HBE ...
... horizontal direction parallel to that in which P acts . Now the inclined plane on which W rests , by means of the nut , is only BH wrapped round the cylinder ; its inclination to the horizon or base of the cylinder is therefore HBE ...
Common terms and phrases
A₁ axes axle balance beam Cambridge catenary centre of gravity chain co-ordinates conditions of equilibrium consequently cord cos² couple cylinder density direction distance draw equal to zero equation equi F₁ F₂ find the centre find the position fixed axis fixed point forces acting forces F friction frustum fulcrum given Hence horizontal plane inclined plane length lever librium m₁ machine magnitude motion moveable osculating plane parabola parallelogram parallelopiped particle passing perpendicular position of equilibrium pressure proportional pulley pyramid radii radius represent resolved respectively rest resultant right angles rigid body screw shew smooth string suppose surface suspended T₁ Taylor's theorem tension thread three forces triangle Trinity College University of Cambridge vertex virtual velocities weight wheel Wherefore ΣΖ ΣΥ ΣΧ
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