Solutions of the Examples Appended to A Treatise on the Motion of a Rigid BodyJ. Deighton, 1848 - 111 páginas |
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Página 5
... question ex- emplifies the manner of finding the moment of inertia when that about another parallel axis is known , viz . by passing through a parallel axis at the centre of gravity . The moment of inertia of the axis through O being ...
... question ex- emplifies the manner of finding the moment of inertia when that about another parallel axis is known , viz . by passing through a parallel axis at the centre of gravity . The moment of inertia of the axis through O being ...
Página 7
... question . 7. Let x ' , y ' , x ' be co - ordinates of a particle m referred to co - ordinate axes through a point in the axis of ≈ at distance y from the origin of the co - ordinates x , y , z , the axes of and being the same , and ...
... question . 7. Let x ' , y ' , x ' be co - ordinates of a particle m referred to co - ordinate axes through a point in the axis of ≈ at distance y from the origin of the co - ordinates x , y , z , the axes of and being the same , and ...
Página 16
... question be followed , and the reaction of the axis thus reduced to the horizontal vertical F forces G : } F ' at 4 , and G ' } at C. AB 2 .. 0 = F + F ' + Mw2 . · O = G + G ' - Mg , 0 = F. AC + Mg . AB ( 1 ) If the pressure on the axis ...
... question be followed , and the reaction of the axis thus reduced to the horizontal vertical F forces G : } F ' at 4 , and G ' } at C. AB 2 .. 0 = F + F ' + Mw2 . · O = G + G ' - Mg , 0 = F. AC + Mg . AB ( 1 ) If the pressure on the axis ...
Página 27
... question ( a2 + k2 ) w2 = C + 2ga , 0 = C - 2ga ; .. we = 4 ga a2 + k2 4ga 3g = = a2 + a2 Now let R be the blow which applied perpendicularly to the rod produces this angular velocity . The effective impulse applied to any molecule m at ...
... question ( a2 + k2 ) w2 = C + 2ga , 0 = C - 2ga ; .. we = 4 ga a2 + k2 4ga 3g = = a2 + a2 Now let R be the blow which applied perpendicularly to the rod produces this angular velocity . The effective impulse applied to any molecule m at ...
Página 29
... question it appears that no form of the rectangle will cause the impulse on the axis to vanish . 25. The velocity generated in a molecule m will be wa , and the effective impulse consequently mwx . The only im- pressed force is the blow ...
... question it appears that no form of the rectangle will cause the impulse on the axis to vanish . 25. The velocity generated in a molecule m will be wa , and the effective impulse consequently mwx . The only im- pressed force is the blow ...
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Términos y frases comunes
2g h accelerating force Algebra angle angular velocity ball blow c² a² CA² Calculus Cambridge centre of gravity co-ordinate axes cone Conic Sections cos² cube cylinder diameter Differential Differential Calculus direction cosines disc distance dt dt dt dy dx dt dy dt effective force Examples Geometry Hence horizontal action horizontal and vertical HYMERS DR impulse inertia instantaneous axis invariable plane length Let C fig Ma² mass Mk² moment of inertia moves Mr² oscillation P₁ P₂ parallel particle perpendicular plates point of contact position pressure principal axes principle R₁ radius reaction revolves rotation sin² sphere tan² Third Edition Treatise velocities of translation vis viva w₁ w₂ wheel WHEWELL DR аф ᏧᎾ
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