A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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... Pressure on the axis • 53 CHAPTER VI . CENTRE OF GRAVITY • I. Geometrical method ˇ II . Co - ordinate method III . Upsetting • IV . Body supported at a point CHAPTER VII . EQUILIBRIUM OF A BODY ACTED ON BY THREE FORCES CHAPTER VIII ...
... Pressure on the axis • 53 CHAPTER VI . CENTRE OF GRAVITY • I. Geometrical method ˇ II . Co - ordinate method III . Upsetting • IV . Body supported at a point CHAPTER VII . EQUILIBRIUM OF A BODY ACTED ON BY THREE FORCES CHAPTER VIII ...
Page 6
... pressure on the pin to be equal to ( P + Q ) . Let be the required angle : then , ( P + Q ) being by the hypothesis the resultant of the two forces , } ( P + Q ) 2 = P2 + Q2 + 2PQ cos 0 , cos == - 2PQ − 3 ( P2 + Q2 ) 8PQ which ...
... pressure on the pin to be equal to ( P + Q ) . Let be the required angle : then , ( P + Q ) being by the hypothesis the resultant of the two forces , } ( P + Q ) 2 = P2 + Q2 + 2PQ cos 0 , cos == - 2PQ − 3 ( P2 + Q2 ) 8PQ which ...
Page 7
... pressures upon the n angles is equal to Let n = 2nP sin π - • n ∞ then the whole pressure upon the circumference of the circle , into which the polygonal periphery degenerates , is equal to π sin n 2πP . 2πP . π n ( 5 ) The directions ...
... pressures upon the n angles is equal to Let n = 2nP sin π - • n ∞ then the whole pressure upon the circumference of the circle , into which the polygonal periphery degenerates , is equal to π sin n 2πP . 2πP . π n ( 5 ) The directions ...
Page 8
... pressures of P pounds and P / 3 pounds so as to produce the same effect as a pressure of 2P pounds applied in a given direction . The two forces P and P√3 must be at right angles to each other , their inclinations to the force 2P being ...
... pressures of P pounds and P / 3 pounds so as to produce the same effect as a pressure of 2P pounds applied in a given direction . The two forces P and P√3 must be at right angles to each other , their inclinations to the force 2P being ...
Page 11
... pressure on each peg . The pressure on A is equal to W , and the pressure on either B or C is equal to W √3 ( 30 ) A , B , C , fig . ( 10 ) , are three fixed tacks : BC is hori- zontal and AB is inclined at an angle a to the horizon ...
... pressure on each peg . The pressure on A is equal to W , and the pressure on either B or C is equal to W √3 ( 30 ) A , B , C , fig . ( 10 ) , are three fixed tacks : BC is hori- zontal and AB is inclined at an angle a to the horizon ...
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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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