A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 16
... string passing over the rim of the bowl at a point A to determine W's position of equilibrium . Let M be the position of the weight's equilibrium , O being the centre of the sphere : let AOM = 0 : then , the triangle AOM being isosceles ...
... string passing over the rim of the bowl at a point A to determine W's position of equilibrium . Let M be the position of the weight's equilibrium , O being the centre of the sphere : let AOM = 0 : then , the triangle AOM being isosceles ...
Page 33
... passing over a smooth pully at C : P rests on a smooth inclined plane AB ... string to an equal weight hanging over the top of the plane : find how much ... string which passes over the com- mon vertex , prove that the weights will be to ...
... passing over a smooth pully at C : P rests on a smooth inclined plane AB ... string to an equal weight hanging over the top of the plane : find how much ... string which passes over the com- mon vertex , prove that the weights will be to ...
Page 39
... string which passes over a smooth peg , are placed on a rough inclined plane passing through the peg , the inclination of the plane being a : the two parts of the string are respectively perpendicular and inclined at an angle ẞ to the ...
... string which passes over a smooth peg , are placed on a rough inclined plane passing through the peg , the inclination of the plane being a : the two parts of the string are respectively perpendicular and inclined at an angle ẞ to the ...
Page 42
... string passing over a fixed pully C , to a weight P : to find the position of the rod when in equilibrium . Let the horizontal line through A be intersected by CP in D and by CB , produced , in E. Let W = the weight of AB , AB = 2a , AD ...
... string passing over a fixed pully C , to a weight P : to find the position of the rod when in equilibrium . Let the horizontal line through A be intersected by CP in D and by CB , produced , in E. Let W = the weight of AB , AB = 2a , AD ...
Page 47
... string , which runs in a horizontal direction to a fixed point vertically above the obstacle , and , passing freely ... string were attached to the centre instead of the end of the beam , and passed over the same fixed point , a weight ...
... string , which runs in a horizontal direction to a fixed point vertically above the obstacle , and , passing freely ... string were attached to the centre instead of the end of the beam , and passed over the same fixed point , a weight ...
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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.