An elementary treatise on MechanicsMacmillan, 1863 - 374 páginas |
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Página 14
... that case that the direc- tion of the resultant bisects the angle between the direction of the two component forces P , Q : for there is no reason why the resultant should make with one of the component 14 OF FORCES ACTING IN ONE PLANE .
... that case that the direc- tion of the resultant bisects the angle between the direction of the two component forces P , Q : for there is no reason why the resultant should make with one of the component 14 OF FORCES ACTING IN ONE PLANE .
Página 16
... bisects the angle between the direc- tions of the forces , and therefore acts along the diagonal AD ; that is , this first part of the proposition is true for two equal forces . CRE Let us assume ( a ) for the present that it is also ...
... bisects the angle between the direc- tions of the forces , and therefore acts along the diagonal AD ; that is , this first part of the proposition is true for two equal forces . CRE Let us assume ( a ) for the present that it is also ...
Página 49
... , B , are equal in magnitude , the direction of the third CG must bisect the angle ACB . The problem then is reduced to the following geometrical one . P. M. 4 To determine the position of the string ACB of given PROBLEMS . 49.
... , B , are equal in magnitude , the direction of the third CG must bisect the angle ACB . The problem then is reduced to the following geometrical one . P. M. 4 To determine the position of the string ACB of given PROBLEMS . 49.
Página 50
... bisect the angles ACB , AC'B , respectively . — There is a third position of equilibrium , viz . when the string is in the position AC " B , C " being the extremity of the minor axis of the ellipse , -for in this case also C " G bisects ...
... bisect the angles ACB , AC'B , respectively . — There is a third position of equilibrium , viz . when the string is in the position AC " B , C " being the extremity of the minor axis of the ellipse , -for in this case also C " G bisects ...
Página 52
... bisects AB at right angles we easily infer that y = C'AB C'BA = y , and ST . Simi- larly the strain at C is equal to S or T - therefore the strain at each angular point is the same . = Also the strains at A , B make equal angles y with ...
... bisects AB at right angles we easily infer that y = C'AB C'BA = y , and ST . Simi- larly the strain at C is equal to S or T - therefore the strain at each angular point is the same . = Also the strains at A , B make equal angles y with ...
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Términos y frases comunes
accelerating force angular points applied axis balance ball bisects body or system centre of gravity circle coefficient of friction conditions of equilibrium cos² curve cycloid cylinder determine diagonal distance elastic equal particles equation equi find the centre fixed point forces acting fulcrum funicular geometrical given heavy particles Hence horizontal plane impact inclined plane latus rectum length lever librium magnitude and direction mass middle point moving parabola parallel parallelogram parallelogram of forces parallelopiped Pcos perpendicular polygon position of equilibrium pressure pully pyramid radius represented resolved rest resultant right angles rough shew sides similar triangles sin² sliding smooth sphere straight line string passes student suppose surface system of forces system of particles tangent tension theorem three forces tion triangle uniform vertex vertical plane virtual velocity W's virtual weight
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Página 15 - If two forces acting at a point be represented in magnitude and direction by the...