A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 9
... greatest when 0 = 0 , least when π , and continually decreases as increases from 0 to π . ( 17 ) Which will be the more effective , two men pulling with a single rope , the strength of each being 2P , or two men pulling with two ropes ...
... greatest when 0 = 0 , least when π , and continually decreases as increases from 0 to π . ( 17 ) Which will be the more effective , two men pulling with a single rope , the strength of each being 2P , or two men pulling with two ropes ...
Page 13
... greatest of the forces be to the least as 5 to 3 , and the triangle be right - angled , to find their ratios to the other force . Let the three forces be represented by 5P , 3P , nP : then , since the triangle is right - angled , and ...
... greatest of the forces be to the least as 5 to 3 , and the triangle be right - angled , to find their ratios to the other force . Let the three forces be represented by 5P , 3P , nP : then , since the triangle is right - angled , and ...
Page 36
... greatest magnitude of the force to be double the least magnitude , to determine the inclina- tion of the plane to the horizon . Let W be the weight of the body , R the reaction of the plane ; P the least magnitude of the force , and ...
... greatest magnitude of the force to be double the least magnitude , to determine the inclina- tion of the plane to the horizon . Let W be the weight of the body , R the reaction of the plane ; P the least magnitude of the force , and ...
Page 37
... greatest and least normal reactions , when it is rough . Let W be the weight of the body , P the supporting force , R the normal reaction , AR the frictional reaction estimated up the plane ; also let a be the inclination of the plane ...
... greatest and least normal reactions , when it is rough . Let W be the weight of the body , P the supporting force , R the normal reaction , AR the frictional reaction estimated up the plane ; also let a be the inclination of the plane ...
Page 38
... greatest to the least force , acting parallel to a given rough inclined plane , which will support a certain weight on the plane , be equal to the ratio of the weight to the normal pressure on the plane , determine the coefficient of ...
... greatest to the least force , acting parallel to a given rough inclined plane , which will support a certain weight on the plane , be equal to the ratio of the weight to the normal pressure on the plane , determine the coefficient of ...
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Common terms and phrases
attached body is projected centre of gravity chord coefficient of friction collision component cos² cylinder denote described determine distance equal forces equation feet find the position find the pressure fixed point forces act fulcrum geometry given circle given point hence highest point horizontal plane inclined plane intersection join latus rectum length lever line of quickest lowest point magnitude and direction middle point motion moveable parabola parallel particle pendulum perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles seconds SECT shew sides sin² sliding smooth sphere straight line string passing supposing suspended tan¹ three forces uniform rod University of Cambridge velocity of projection vertical circle vertical plane wheel
Popular passages
Page 145 - OUT of childhood into manhood Now had grown my Hiawatha, Skilled in all the craft of hunters, Learned in all the lore of old men, In all youthful sports and pastimes, In all manly arts and labors. Swift of foot was Hiawatha ; He could shoot an arrow from him, And run forward with such fleetness, That the arrow fell behind him...