A Collection of Problems in Illustration of the Principles of Theoretical MechanicsDeighton, Bell, 1876 - 667 páginas |
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Página 25
... side of the rectangle varies as the distance from a fixed point in the axis , while half the other is the sine of a circular arc , of which this distance is the versed sine ; to determine the distance of the centre of gravity of the ...
... side of the rectangle varies as the distance from a fixed point in the axis , while half the other is the sine of a circular arc , of which this distance is the versed sine ; to determine the distance of the centre of gravity of the ...
Página 33
... sides of the spherical triangle opposite to the angles A , B , C , S ' = area BOC - area AOB x cos B area AOC x cos C = Пр 360 - ( accos B - b cos C ' ) , a - bcos C- ccos B A + B + C - 180 and therefore Z. = tr b Similarly , = Z. = fr ...
... sides of the spherical triangle opposite to the angles A , B , C , S ' = area BOC - area AOB x cos B area AOC x cos C = Пр 360 - ( accos B - b cos C ' ) , a - bcos C- ccos B A + B + C - 180 and therefore Z. = tr b Similarly , = Z. = fr ...
Página 34
... side c be taken as the plane of x and y , and let the radius OA be taken to coincide with the axis of x . Then from the preceding results we have at once x = Ir a sin B sin c A + B + C - 180 ' z = r c - b cos A -a cos B A + B + C - 180 ...
... side c be taken as the plane of x and y , and let the radius OA be taken to coincide with the axis of x . Then from the preceding results we have at once x = Ir a sin B sin c A + B + C - 180 ' z = r c - b cos A -a cos B A + B + C - 180 ...
Página 41
... sides a , b , c ; to find the distance of the centre of parallel forces from A. Produce AB , AC , indefinitely to points x , y , and let Ax , Ay , be taken as co - ordinate axes . Let μa , μb , μc , be the forces applied at A , B , C ...
... sides a , b , c ; to find the distance of the centre of parallel forces from A. Produce AB , AC , indefinitely to points x , y , and let Ax , Ay , be taken as co - ordinate axes . Let μa , μb , μc , be the forces applied at A , B , C ...
Página 42
... side is the length of the perimeter , and the other the length of the path described by the centre of gravity of the perimeter . The enunciation of these properties , which are generally called Guldin's properties , is due to Pappus ...
... side is the length of the perimeter , and the other the length of the path described by the centre of gravity of the perimeter . The enunciation of these properties , which are generally called Guldin's properties , is due to Pappus ...
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Términos y frases comunes
absolute force acted angular velocity attraction axes axis beam body catenary centre of force centre of gravity circle co-ordinates coefficient of friction cos² curve cycloid cylinder denote density descends determine distance dt dt dt² dx dy dx² elastic ellipse equal equation Euler find the centre fixed point hence horizontal plane inclined plane inertia integrating James Bernoulli John Bernoulli lamina mass middle point moment of inertia motion natural length oscillation parabola perpendicular position of equilibrium pressure radius of gyration radius vector resolving forces rest right angles SECT sin² smooth sphere square straight line string supposing surface taking moments tangent tension triangle tube uniform rod varying inversely vertex vertical plane Vis Viva weight
Pasajes populares
Página 203 - A centre of force attracting inversely as the square of the distance is at the centre of a spherical cavity within an infinite mass of liquid, the pressure on which at an infinite distance is...