A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 1
William Walton. STATICS . CHAPTER I. RESULTANT OF TWO FORCES ACTING ON A POINT . SECT . 1. Geometrical Method . IF two forces P , Q , act upon a point 0 , fig . ( 1 ) , in the directions OA , OB , respectively , and if OA OB :: P : Q ...
William Walton. STATICS . CHAPTER I. RESULTANT OF TWO FORCES ACTING ON A POINT . SECT . 1. Geometrical Method . IF two forces P , Q , act upon a point 0 , fig . ( 1 ) , in the directions OA , OB , respectively , and if OA OB :: P : Q ...
Page 2
... act on a point at right angles to each other and the resultant is double of the less : shew that the angle which the resultant makes with the less is double the angle which it makes ... forces 2 RESULTANT OF TWO FORCES ACTING ON A POINT .
... act on a point at right angles to each other and the resultant is double of the less : shew that the angle which the resultant makes with the less is double the angle which it makes ... forces 2 RESULTANT OF TWO FORCES ACTING ON A POINT .
Page 3
... act both towards or both from the axis , the resultant will pass through the focus . Let PT , PG , fig . ( 4 ) , be the tangent and normal at any point Pof the parabola . Then the force PT acting on P is ... FORCES ACTING ON A POINT . 3.
... act both towards or both from the axis , the resultant will pass through the focus . Let PT , PG , fig . ( 4 ) , be the tangent and normal at any point Pof the parabola . Then the force PT acting on P is ... FORCES ACTING ON A POINT . 3.
Page 4
... forces act along AB , DC , or along BA , CD . Produce AB , DC , to meet in T , and draw OE , OF , parallel to DC ... forces must pass through 0 . ( 7 ) The resultant of two equal forces , applied at a given point , is represented in ...
... forces act along AB , DC , or along BA , CD . Produce AB , DC , to meet in T , and draw OE , OF , parallel to DC ... forces must pass through 0 . ( 7 ) The resultant of two equal forces , applied at a given point , is represented in ...
Page 5
William Walton. ( 10 ) Two forces act along opposite sides of a quadri- lateral in a circle , towards opposite parts , and are respectively proportional to these sides ; prove that their resultant passes through the intersection of the ...
William Walton. ( 10 ) Two forces act along opposite sides of a quadri- lateral in a circle , towards opposite parts , and are respectively proportional to these sides ; prove that their resultant passes through the intersection of the ...
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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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