A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 33
... heavy particles , P and Q , are connected together by a fine thread passing over a smooth pully at C : P rests on a smooth inclined plane AB , and hangs freely : prove that , a denoting the inclination of the plane to the horizon , R ...
... heavy particles , P and Q , are connected together by a fine thread passing over a smooth pully at C : P rests on a smooth inclined plane AB , and hangs freely : prove that , a denoting the inclination of the plane to the horizon , R ...
Page 36
... = tan1 ( 3μ ) . ( 3 ) A heavy body is kept at rest on a given inclined plane by a force making a given angle with the plane ; to prove that the reaction of the plane , when it is smooth , 36 EQUILIBRIUM OF ANY NUMBER.
... = tan1 ( 3μ ) . ( 3 ) A heavy body is kept at rest on a given inclined plane by a force making a given angle with the plane ; to prove that the reaction of the plane , when it is smooth , 36 EQUILIBRIUM OF ANY NUMBER.
Page 56
... heavy par- ticles , placed at five of the angular points of a regular hexagon . Let the heavy particles be placed at B , C , D , E , F , fig . ( 54 ) . Join AD : join also BF , CE , cutting AD in M , N. Let O be the middle point of AD ...
... heavy par- ticles , placed at five of the angular points of a regular hexagon . Let the heavy particles be placed at B , C , D , E , F , fig . ( 54 ) . Join AD : join also BF , CE , cutting AD in M , N. Let O be the middle point of AD ...
Page 73
... heavy particles in space and represented in mag- nitude and direction by straight lines drawn from it to all the particles , will be in equilibrium . ( 38 ) If particles of unequal weights be placed at the angular points of a triangular ...
... heavy particles in space and represented in mag- nitude and direction by straight lines drawn from it to all the particles , will be in equilibrium . ( 38 ) If particles of unequal weights be placed at the angular points of a triangular ...
Page 77
... heavy body is supported in a given position by means of a string , which is fastened to two given points in the body , and passes over a smooth peg : find the length of the string . Let A , B , be the two points in the body , and G its ...
... heavy body is supported in a given position by means of a string , which is fastened to two given points in the body , and passes over a smooth peg : find the length of the string . Let A , B , be the two points in the body , and G its ...
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Common terms and phrases
body is projected centre of gravity chord coefficient of friction collision component cos² cylinder denote described determine directrix distance equal forces equation feet find the position find the pressure fixed point forces act fulcrum geometrical progression given circle given point hangs hence highest point horizontal plane impact impinges inclined plane intersection join latus rectum lever line of quickest lowest point magnitude and direction mass middle point motion moveable parabola parallel parallelogram particle perfectly elastic ball perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles SECT shew sides sin² sliding smooth sphere straight line string passing supposing suspended tan¹ tangent three forces uniform rod velocity of projection vertex vertical circle vertical plane
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Page 255 - Classics, so far as they have been published, will be adopted. These editions have taken their place amongst scholars as valuable contributions to the Classical Literature of this country, and are admitted to be good examples of the judicious and practical nature of English scholarship ; and as the editors have formed their texts from a careful examination of the best editions extant, it is believed that no texts better for general use can be found. The volumes will be well printed at the Cambridge...
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Page 255 - THIS series is intended to supply for the use of Schools and Students cheap and accurate editions of the Classics, which shall be superior in mechanical execution to the small German editions now current in this country, and more convenient in form. The texts of the " Bibliotheca Classica" and " GrammarSchool Classics,'" so far as they have been published, will be adopted.