A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 3
William Walton. ( 4 ) At any point of a parabola forces are applied , repre- sented in magnitude and direction by the tangent and normal at the point : to prove that , the forces being supposed to act both towards or both from the axis ...
William Walton. ( 4 ) At any point of a parabola forces are applied , repre- sented in magnitude and direction by the tangent and normal at the point : to prove that , the forces being supposed to act both towards or both from the axis ...
Page 4
... a given point , is represented in magnitude and direction by a given straight line drawn from the point : prove that the locus of the extremity of the straight line which represents either force is an indefinite perpendicular erected at ...
... a given point , is represented in magnitude and direction by a given straight line drawn from the point : prove that the locus of the extremity of the straight line which represents either force is an indefinite perpendicular erected at ...
Page 6
... a force along Cx equal to 2P cos 30o = P√3 .. ( 2 ) A cord PAQ is tied round a pin at the fixed point A , and its two ends are drawn in different directions by the forces P and Q to determine the angle between these directions , sup ...
... a force along Cx equal to 2P cos 30o = P√3 .. ( 2 ) A cord PAQ is tied round a pin at the fixed point A , and its two ends are drawn in different directions by the forces P and Q to determine the angle between these directions , sup ...
Page 8
... a point in directions at right angles to each other : to find the magnitude of their resultant . The resultant is ... given direction . The two forces P and P√3 must be at right angles to each other , their inclinations to the force 2P ...
... a point in directions at right angles to each other : to find the magnitude of their resultant . The resultant is ... given direction . The two forces P and P√3 must be at right angles to each other , their inclinations to the force 2P ...
Page 9
... a , is equal in magnitude to that of two other forces ( P + Q ) cosa , ( P− Q ) sin , making right angles with each other . ( 19 ) Two forces P and nP act on a point and make a con- stant angle with each other : to determine whether ...
... a , is equal in magnitude to that of two other forces ( P + Q ) cosa , ( P− Q ) sin , making right angles with each other . ( 19 ) Two forces P and nP act on a point and make a con- stant angle with each other : to determine whether ...
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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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