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 viii
... density 92 - 96 99 101 ... 105 108 - 118 186-230 . CHAPTER VII . MECHANICAL INSTRUMENTS 120 189-194 . The Lever 123 195-207 . The Pulley ... 125 212-214 . 208-211 . The Wheel and Axle ....... The Inclined Plane 131 132 215. The Screw ...
... density 92 - 96 99 101 ... 105 108 - 118 186-230 . CHAPTER VII . MECHANICAL INSTRUMENTS 120 189-194 . The Lever 123 195-207 . The Pulley ... 125 212-214 . 208-211 . The Wheel and Axle ....... The Inclined Plane 131 132 215. The Screw ...
Page 71
... density of the body ; and it is evident that M = pV . 128. The direction in which a body descends when let fall is called the vertical direction ; it may be discovered by suspending a heavy body by a thread , or by drawing a line ...
... density of the body ; and it is evident that M = pV . 128. The direction in which a body descends when let fall is called the vertical direction ; it may be discovered by suspending a heavy body by a thread , or by drawing a line ...
Page 74
... density is measured by the product of its volume into its density ( Art . 127 ) ; if P1 , P2 , P3 , .... be the densities , and V1 , V2 , V3 , .... the volumes of the molecules m1 , m2 , m3 , we shall have .... m1 = p1 V1 , m2 = P2 V2 ...
... density is measured by the product of its volume into its density ( Art . 127 ) ; if P1 , P2 , P3 , .... be the densities , and V1 , V2 , V3 , .... the volumes of the molecules m1 , m2 , m3 , we shall have .... m1 = p1 V1 , m2 = P2 V2 ...
Page 75
... density of the whole system be the same in every part , then = = P1 P2 P3 and these formulæ are sim- .... plified by dividing out p , thus , = Σ ( Vx ) ΣΕ - y = Σ ( Vy ) ΣΕ Σ ( Vx ) ΣΕ But it is to be carefully observed , that these ...
... density of the whole system be the same in every part , then = = P1 P2 P3 and these formulæ are sim- .... plified by dividing out p , thus , = Σ ( Vx ) ΣΕ - y = Σ ( Vy ) ΣΕ Σ ( Vx ) ΣΕ But it is to be carefully observed , that these ...
Page 108
... density is variable . Questions of this kind depend upon the formulæ of Art . 138 , viz.— x = Σ ( ρνα ) ΣΥ ) - ; y = Σ ( pVy ) Σ ( pv ) - ; 2 = ( Σρνα ) Σ ( PV ) 183. To find the centre of gravity of a physical line , the density of ...
... density is variable . Questions of this kind depend upon the formulæ of Art . 138 , viz.— x = Σ ( ρνα ) ΣΥ ) - ; y = Σ ( pVy ) Σ ( pv ) - ; 2 = ( Σρνα ) Σ ( PV ) 183. To find the centre of gravity of a physical line , the density of ...
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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