A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 6
... weight P at the end of it , is attached to a point A in a wall AB : from a point B of the wall a thin rod BC projects horizontally , pushing out the string : to find the pressure of the string on the rod . The end C of the rod is acted ...
... weight P at the end of it , is attached to a point A in a wall AB : from a point B of the wall a thin rod BC projects horizontally , pushing out the string : to find the pressure of the string on the rod . The end C of the rod is acted ...
Page 10
... weight of 60 pounds : to deter- mine the forces . The required forces are equivalent to weights of 36 and 48 pounds . ( 27 ) The resultant of two forces acting at right angles to each other is 13 pounds : when each component is ...
... weight of 60 pounds : to deter- mine the forces . The required forces are equivalent to weights of 36 and 48 pounds . ( 27 ) The resultant of two forces acting at right angles to each other is 13 pounds : when each component is ...
Page 11
... weights P , P , are fixed to the ends of a string which passes over three tacks A , B , C , forming an equi- lateral ... 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 ...
... weights P , P , are fixed to the ends of a string which passes over three tacks A , B , C , forming an equi- lateral ... 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 12
... weight on an inclined plane : sup- posing the force to act parallel to the plane and to be equal to the pressure on the plane , to find the inclination of the plane to the horizon . Let P , fig . ( 11 ) , be the force , R the reaction ...
... weight on an inclined plane : sup- posing the force to act parallel to the plane and to be equal to the pressure on the plane , to find the inclination of the plane to the horizon . Let P , fig . ( 11 ) , be the force , R the reaction ...
Page 14
... weights being attached to it , one at each end and one on the portion between the rings ; to find the position of the rings when they are in equilibrium . If A , B , be the two rings , and C the position of the middle weight , ABC must ...
... weights being attached to it , one at each end and one on the portion between the rings ; to find the position of the rings when they are in equilibrium . If A , B , be the two rings , and C the position of the middle weight , ABC must ...
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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...