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 iii
... rigid body is made to exert on a fixed point or axis of support by the action of forces when there is equilibrium . These will be found useful in those Problems of Dynamics wherein it is required to find the pressure which a rigid body ...
... rigid body is made to exert on a fixed point or axis of support by the action of forces when there is equilibrium . These will be found useful in those Problems of Dynamics wherein it is required to find the pressure which a rigid body ...
Page vii
... RIGID BODY . 23 , 24. Forces acting in the same line on a point 26. Parallelogram of forces ..... 27 , 28. Three ... RIGID BODY , IN ANY DIRECTIONS NOT IN ONE PLANE ..... CHAPTER III . 39-68 . FORCES WHICH ACT IN ONE PLANE BUT NOT UPON ...
... RIGID BODY . 23 , 24. Forces acting in the same line on a point 26. Parallelogram of forces ..... 27 , 28. Three ... RIGID BODY , IN ANY DIRECTIONS NOT IN ONE PLANE ..... CHAPTER III . 39-68 . FORCES WHICH ACT IN ONE PLANE BUT NOT UPON ...
Page 2
... rigid body . 6. With respect to the motion of a particle of matter , we conceive that it consists in the particle's being found to occupy different parts of space at successive instants , or epochs of time ; but with respect to the ...
... rigid body . 6. With respect to the motion of a particle of matter , we conceive that it consists in the particle's being found to occupy different parts of space at successive instants , or epochs of time ; but with respect to the ...
Page 6
... rigid body may take are of two distinct kinds and therefore the reasoning just stated respecting a free particle does not apply to rigid bodies . We shall hereafter shew that , corresponding to the three cases stated in the Article ...
... rigid body may take are of two distinct kinds and therefore the reasoning just stated respecting a free particle does not apply to rigid bodies . We shall hereafter shew that , corresponding to the three cases stated in the Article ...
Page 7
... rigid body is in equilibrium , any point ( of the body ) in the line of the direction in which a force acts , may be taken for the point of application of the force , without affecting the equilibrium . 22. If a system of unbalancing ...
... rigid body is in equilibrium , any point ( of the body ) in the line of the direction in which a force acts , may be taken for the point of application of the force , without affecting the equilibrium . 22. If a system of unbalancing ...
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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