A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 1
... length , and OB = 8 units of length : complete the parallelogram OACB , and join OC . Then OC must be equal to 10 units of length . Since 62 + 82 = 102 , the square on OC must be equal to the square on OA together with that on AC ...
... length , and OB = 8 units of length : complete the parallelogram OACB , and join OC . Then OC must be equal to 10 units of length . Since 62 + 82 = 102 , the square on OC must be equal to the square on OA together with that on AC ...
Page 4
... length the difference between the resultant and one of two equal forces , which act upon a point at right angles to each other , shew how the lines representing the forces may be found by a geometrical construc- tion . ( 10 ) Two forces ...
... length the difference between the resultant and one of two equal forces , which act upon a point at right angles to each other , shew how the lines representing the forces may be found by a geometrical construc- tion . ( 10 ) Two forces ...
Page 11
... length of which is equal to four times a side of the triangle is hung over them , and its two ends attach- ed to a weight W : to find the pressure on each peg . The pressure on A is equal to W , and the pressure on either B or C is ...
... length of which is equal to four times a side of the triangle is hung over them , and its two ends attach- ed to a weight W : to find the pressure on each peg . The pressure on A is equal to W , and the pressure on either B or C is ...
Page 18
... length c is tied to two points A , B ; the inclination of AB to the horizon is a ; a weight , sliding freely on the string , hangs in equilibrium : shew that , if AB = a , the weight divides the string into two parts equal to + c { 1 ...
... length c is tied to two points A , B ; the inclination of AB to the horizon is a ; a weight , sliding freely on the string , hangs in equilibrium : shew that , if AB = a , the weight divides the string into two parts equal to + c { 1 ...
Page 27
... length of the string , and r = the radius of the sphere : then T = Psin , and R = P cos- . r ( 4 ) The ends of a fine cord of given length are tied to two given points in the same horizontal line , and a smooth ring , sliding on the ...
... length of the string , and r = the radius of the sphere : then T = Psin , and R = P cos- . r ( 4 ) The ends of a fine cord of given length are tied to two given points in the same horizontal line , and a smooth ring , sliding on the ...
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accelerating attached balance ball beam body centre of gravity chord circle collision component cylinder denote descent described determine direction distance draw drawn Edition elasticity equal equation equilibrium extremity falling feet fixed forces act former friction fulcrum given point greatest ground hangs heavy hence horizontal plane inches inclined plane intersection join latter length lower magnitude mass meet middle point motion moving opposite parallel particle passes placed portion position of equilibrium pounds pressure produce projection proportional prove pully radius ratio reaction represented respectively rest resultant right angles ring rough seconds SECT shew sides sliding smooth space sphere square straight line string supported supposing suspended tension three forces triangle uniform unit velocity vertical vertical plane wall weight wheel whole
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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...