A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 7
... particle , are inclined to each other at an angle of 30 ° , one force being equal to two pounds and the other to three pounds : to find the magnitude of their resultant . The resultant is equal to ( 13+ 6 √3 ) 3 . ( 8 ) If two forces ...
... particle , are inclined to each other at an angle of 30 ° , one force being equal to two pounds and the other to three pounds : to find the magnitude of their resultant . The resultant is equal to ( 13+ 6 √3 ) 3 . ( 8 ) If two forces ...
Page 9
... particle , first at an angle of 45 ° to each other , and next at an angle of 90 ° : to compare the magnitudes of the resultants in the two cases . The ratio of the former to the latter resultant is equal to W. S. ( 1 + 1 / 2 ) 2 ( 22 ) ...
... particle , first at an angle of 45 ° to each other , and next at an angle of 90 ° : to compare the magnitudes of the resultants in the two cases . The ratio of the former to the latter resultant is equal to W. S. ( 1 + 1 / 2 ) 2 ( 22 ) ...
Page 17
... particle , produce equilibrium supposing the angle between P's direction and R's to be , and that between Q's and R's to be , to com- pare the magnitudes of the forces . P , Q , R , are to each other respectively as 2 , √3 , 1 . ( 5 ) ...
... particle , produce equilibrium supposing the angle between P's direction and R's to be , and that between Q's and R's to be , to com- pare the magnitudes of the forces . P , Q , R , are to each other respectively as 2 , √3 , 1 . ( 5 ) ...
Page 18
... particle is 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 ...
... particle is 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 ...
Page 24
... particle to be dis- placed towards A : then , O being the new position of the particle , the angle AOB or AOC will be equal to COS ( − 2 ) . CHAPTER IV . EQUILIBRIUM OF ANY NUMBER OF FORCES ACTING 24 RESULTANT OF ANY NUMBER OF FORCES ...
... particle to be dis- placed towards A : then , O being the new position of the particle , the angle AOB or AOC will be equal to COS ( − 2 ) . CHAPTER IV . EQUILIBRIUM OF ANY NUMBER OF FORCES ACTING 24 RESULTANT OF ANY NUMBER OF FORCES ...
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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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