A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 5
... denote their resultant : then R2 = P2 + P2 + 2P . P. cos 60 ° = 3P2 , R = P√3 . This question may be treated also as follows . Let C , fig . ( 7 ) , be the point at which the two forces act : draw Co to bisect the angle between their ...
... denote their resultant : then R2 = P2 + P2 + 2P . P. cos 60 ° = 3P2 , R = P√3 . This question may be treated also as follows . Let C , fig . ( 7 ) , be the point at which the two forces act : draw Co to bisect the angle between their ...
Page 15
... denote the respective angles between Q , R ; R , P ; P , Q ; the sufficient and necessary conditions of equilibrium are expressed by the following proportion P : QR :: sin Q , R : sin R , P : sin P , Q. ( 1 ) From a fixed point O in a ...
... denote the respective angles between Q , R ; R , P ; P , Q ; the sufficient and necessary conditions of equilibrium are expressed by the following proportion P : QR :: sin Q , R : sin R , P : sin P , Q. ( 1 ) From a fixed point O in a ...
Page 33
... denoting the inclination of the plane to the horizon , R the pressure , and the angle CPB , cos e = Psin a Q R = P cos a- ( Q2 - Pa sin3 a ) * . ( 15 ) A weight W is supported on an inclined plane by a certain force acting at an angle e ...
... denoting the inclination of the plane to the horizon , R the pressure , and the angle CPB , cos e = Psin a Q R = P cos a- ( Q2 - Pa sin3 a ) * . ( 15 ) A weight W is supported on an inclined plane by a certain force acting at an angle e ...
Page 38
... denote the coefficient of friction , the required angle is equal to tan1 ( u ) . ( 9 ) A particle , the weight of which is W , rests upon a rough horizontal table , and is acted upon by two horizontal forces m W and n W , the directions ...
... denote the coefficient of friction , the required angle is equal to tan1 ( u ) . ( 9 ) A particle , the weight of which is W , rests upon a rough horizontal table , and is acted upon by two horizontal forces m W and n W , the directions ...
Page 43
... Am : Ab . Let G be the centre of gravity of the ladder and W its weight let R denote the reaction of the wall against the ladder , in both cases . Let BAC - a . Then , when the boy is on the ladder , MOVEABLE ABOUT A FIXED AXIS . 43.
... Am : Ab . Let G be the centre of gravity of the ladder and W its weight let R denote the reaction of the wall against the ladder , in both cases . Let BAC - a . Then , when the boy is on the ladder , MOVEABLE ABOUT A FIXED AXIS . 43.
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body is projected centre of gravity chord coefficient of friction collision component cos² 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 sin² sliding smooth sphere straight line string passing supposing suspended tan¹ tangent three forces uniform rod velocity of projection vertex vertical circle vertical plane
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