Geometrical Optics: Adapted to the Use of the Higher Classes in Schools, Etc |
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Page 11
... zero ; but this can happen only when each one , separately , zero is ( since neither can be X- negative being squared ) . We Y ΣΥ R α -X ΣΧ therefore have as the necessary and sufficient conditions for the equilibrium Y FIG . 5 of a ...
... zero ; but this can happen only when each one , separately , zero is ( since neither can be X- negative being squared ) . We Y ΣΥ R α -X ΣΧ therefore have as the necessary and sufficient conditions for the equilibrium Y FIG . 5 of a ...
Page 50
... zero , will 20 с P ( a ) P ( b ) FIG . 47 now be considered . It is easy to see that since the result- ant is zero , the two forces tend to produce only a rotation of the rigid body about a gravity axis perpendicular to the plane of the ...
... zero , will 20 с P ( a ) P ( b ) FIG . 47 now be considered . It is easy to see that since the result- ant is zero , the two forces tend to produce only a rotation of the rigid body about a gravity axis perpendicular to the plane of the ...
Page 51
... zero . In this case , since the resultant is zero , the moment of the forces of the couple with respect to any point in the plane is equal to the sum of the moments of the two forces with respect to that point . Let the point be C , Fig ...
... zero . In this case , since the resultant is zero , the moment of the forces of the couple with respect to any point in the plane is equal to the sum of the moments of the two forces with respect to that point . Let the point be C , Fig ...
Page 57
... zero and the sum of the moments with respect to any point in the plane is zero . Considering as a special case the case where the forces are concurring , it is seen that Pd is always zero ( see Art . 16 ) . The case of a system of ...
... zero and the sum of the moments with respect to any point in the plane is zero . Considering as a special case the case where the forces are concurring , it is seen that Pd is always zero ( see Art . 16 ) . The case of a system of ...
Page 66
... zero , and the sum of the moments with respect to each of these axes is zero . It may be further shown that the single force and resultant of the preceding article may be replaced by a single force and a couple whose plane of rotation ...
... zero , and the sum of the moments with respect to each of these axes is zero . It may be further shown that the single force and resultant of the preceding article may be replaced by a single force and a couple whose plane of rotation ...
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Common terms and phrases
a₁ acceleration angle angular velocity arrow axes axis of rotation axle center of gravity cloth coefficient of friction compression concurrent forces consider constant cord cos² couple Crown 8vo curve cylinder diameter direction disk distance dt dt Edition equal fcap Find the center fly wheel forces acting formula gravity axis hammer horizontal inch inertia with respect kinetic energy length lens line of action M₁ M₂ mass mirror moment of inertia motion moving P₁ P₂ pencil pendulum perpendicular plane point of application preceding problem prism pulley R₁ radians per second radius rays refraction represented resistance revolutions revolutions per minute rigid body seen shaft shown in Fig Simpson's Rule speed square Suppose surface T₁ tangential tension tion v₁ vertical weight work-energy equation x-axis zero