A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 2
... determining the motion . It will appear further that Newton's Laws are sufficient for the determination of the motion of a system of particles or bodies , whether rigidly connected or not , and lead , in a similar manner , to systems of ...
... determining the motion . It will appear further that Newton's Laws are sufficient for the determination of the motion of a system of particles or bodies , whether rigidly connected or not , and lead , in a similar manner , to systems of ...
Página 25
... the second = w2p . ( 4 ) A circle of radius b rolls on a circle of radius a ; it is required to determine the acceleration of the point of contact . B A P Taking the arc BP equal to the arc AP , CIRCLE ROLLING ON A CIRCLE . 25.
... the second = w2p . ( 4 ) A circle of radius b rolls on a circle of radius a ; it is required to determine the acceleration of the point of contact . B A P Taking the arc BP equal to the arc AP , CIRCLE ROLLING ON A CIRCLE . 25.
Página 37
... determined by the motions of any two given lines OP , OQ of the system . Now , at any instant , OP must be moving in some plane and therefore must be turning round some straight line in the plane through OP perpendicular to the plane of ...
... determined by the motions of any two given lines OP , OQ of the system . Now , at any instant , OP must be moving in some plane and therefore must be turning round some straight line in the plane through OP perpendicular to the plane of ...
Página 41
... determine the law of the motion . 20. A point A moves in a straight line , and a second point B always moves towards A and keeps at a constant distance from it . Find the path of B and shew that its velocity is a mean proportional ...
... determine the law of the motion . 20. A point A moves in a straight line , and a second point B always moves towards A and keeps at a constant distance from it . Find the path of B and shew that its velocity is a mean proportional ...
Página 45
... determined by the co - or- dinates x , r , where r is the distance from the origin of the point whose rectangular co - ordinates are a , y ; shew that the component accelerations are uv ú + and i r Xuv p2 and determine u , v ( the ...
... determined by the co - or- dinates x , r , where r is the distance from the origin of the point whose rectangular co - ordinates are a , y ; shew that the component accelerations are uv ú + and i r Xuv p2 and determine u , v ( the ...
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Términos y frases comunes
acting forces action angular momentum axes ball body centre of force centre of gravity chain circle circular component constant coordinates cos² curve cycloid described determine the motion diameter direction of motion disc distance ds ds Edition elastic string ellipse equal equations of motion equilibrium Fcap fixed point given h₁ heavy particle Hence hodograph horizontal plane hyperbola impulses inclination initial instant kinetic energy latus rectum mass moment of inertia momenta natural length normal obtain orbit parabola particle moves path perpendicular point moves position prove radius of curvature radius vector relative revolve ring rotation shew sin² smooth horizontal plane sphere straight line surface Taking tangent tension time-flux tube uniform angular velocity uniformly vertex vertical plane weight
Pasajes populares
Página 48 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.