A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 40
... lever , and produce equilibrium , their resultant must pass through the fulcrum , and , conversely , if their resultant passes through the fulcrum , there will be equilibrium . The above condition of equilibrium may be replaced by the ...
... lever , and produce equilibrium , their resultant must pass through the fulcrum , and , conversely , if their resultant passes through the fulcrum , there will be equilibrium . The above condition of equilibrium may be replaced by the ...
Page 42
... lever AB : to find the position of the fulcrum that equilibrium may be maintained , the inclinations of P's and Q's directions to AB being a and ẞ respectively . Let AB = c ; and let x , y , be the distances of the fulcrum from A , B ...
... lever AB : to find the position of the fulcrum that equilibrium may be maintained , the inclinations of P's and Q's directions to AB being a and ẞ respectively . Let AB = c ; and let x , y , be the distances of the fulcrum from A , B ...
Page 44
... lever without weight in the form of the arc of a circle , having two weights P and Q suspended from its extre- mities , rests with its convexity downwards upon a horizontal plane ; to determine the position of equilibrium . Let AEB ...
... lever without weight in the form of the arc of a circle , having two weights P and Q suspended from its extre- mities , rests with its convexity downwards upon a horizontal plane ; to determine the position of equilibrium . Let AEB ...
Page 45
... lever , 9 inches long , placed between two pegs at A and B , 4 inches apart , so as to be kept horizontal by means of them and a weight of 10lbs . hang- ing at C : find the pressures on the pegs . The pressure on the pegs A , B , are ...
... lever , 9 inches long , placed between two pegs at A and B , 4 inches apart , so as to be kept horizontal by means of them and a weight of 10lbs . hang- ing at C : find the pressures on the pegs . The pressure on the pegs A , B , are ...
Page 46
... lever , with its arms AC and BC at right angles , is in a position of equilibrium : find the angle which AC makes with the horizon , If AC - a , BC = b , the required angle is equal to tan - 1 a b2 • ( 22 ) ABC is a uniform bent rod ...
... lever , with its arms AC and BC at right angles , is in a position of equilibrium : find the angle which AC makes with the horizon , If AC - a , BC = b , the required angle is equal to tan - 1 a b2 • ( 22 ) ABC is a uniform bent rod ...
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Common terms and phrases
body is projected centre of gravity chord coefficient of friction collision component cos˛ 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 sin˛ sliding smooth sphere straight line string passing supposing suspended tanš tangent three forces uniform rod velocity of projection vertex vertical circle vertical plane
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