A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 18
... placed in the centre of a circle and is acted on by three forces P , Q , R , tending towards the angular points A , B , C , of the circumscribed triangle : prove that , when there is equilibrium , : P Q R cos 哈 A : COS B 2 C : COS ...
... placed in the centre of a circle and is acted on by three forces P , Q , R , tending towards the angular points A , B , C , of the circumscribed triangle : prove that , when there is equilibrium , : P Q R cos 哈 A : COS B 2 C : COS ...
Page 24
... placed in the middle point of a fixed horizontal , equilateral , and triangular board , and is kept in equilibrium by three equal weights , which act by means of strings passing through the angular points . Supposing the particle to be ...
... placed in the middle point of a fixed horizontal , equilateral , and triangular board , and is kept in equilibrium by three equal weights , which act by means of strings passing through the angular points . Supposing the particle to be ...
Page 29
... placed on a square table at distances c1 , C2 , c , c , from the corners , and to it are attached strings passing over smooth pulleys at the corners and supporting weights P , P1⁄2 , P , P1 ; to prove that , if there is equilibrium , 29 ...
... placed on a square table at distances c1 , C2 , c , c , from the corners , and to it are attached strings passing over smooth pulleys at the corners and supporting weights P , P1⁄2 , P , P1 ; to prove that , if there is equilibrium , 29 ...
Page 32
... placed on an inclined plane , the angle of which is 30 ° : to find the magnitude of a horizontal force which will sustain the weight . The required force is equal to 10 pounds . √3 ( 10 ) Two forces P , Q , acting respectively parallel ...
... placed on an inclined plane , the angle of which is 30 ° : to find the magnitude of a horizontal force which will sustain the weight . The required force is equal to 10 pounds . √3 ( 10 ) Two forces P , Q , acting respectively parallel ...
Page 33
... placed on an inclined plane , the height of which is 3 feet and base 4 feet , and is attached by a string to an equal weight hanging over the top of the plane : find how much must be added to the weight on the plane that there may be ...
... placed on an inclined plane , the height of which is 3 feet and base 4 feet , and is attached by a string to an equal weight hanging over the top of the plane : find how much must be added to the weight on the plane that there may be ...
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Common terms and phrases
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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