A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 18
... Relative velocities and Relative accelerations . If P be a moving point , A , B , C , ... other moving points and O a fixed point , the velocity of P in any direction is the sum of the velocities , in the same direction , 18 PHORONOMY .
... Relative velocities and Relative accelerations . If P be a moving point , A , B , C , ... other moving points and O a fixed point , the velocity of P in any direction is the sum of the velocities , in the same direction , 18 PHORONOMY .
Página 19
... relative to A , of A relative to B , of B relative to C , and so on , and of the last moving point relative to 0 . For , if u be the velocity of P in the direction considered , U1 , U2 , ... Un of the moving points in the same direction ...
... relative to A , of A relative to B , of B relative to C , and so on , and of the last moving point relative to 0 . For , if u be the velocity of P in the direction considered , U1 , U2 , ... Un of the moving points in the same direction ...
Página 21
... relative to N is compounded of y in the direction NP and yo perpendicular to NP , and the latter , by the triangle of velocities EPN , decomposes into and - yo cosec w parallel to x , yo cot a parallel to y . The velocity of N in ...
... relative to N is compounded of y in the direction NP and yo perpendicular to NP , and the latter , by the triangle of velocities EPN , decomposes into and - yo cosec w parallel to x , yo cot a parallel to y . The velocity of N in ...
Página 22
... relative velocities and relative accelerations . ( 1 ) A point P describes an equiangular spiral_with uniform angular velocity round O , and a point Q describes an equal spiral with the same angular velocity round P ; it is required to ...
... relative velocities and relative accelerations . ( 1 ) A point P describes an equiangular spiral_with uniform angular velocity round O , and a point Q describes an equal spiral with the same angular velocity round P ; it is required to ...
Página 23
... relative to P in the direction QF , the angles OPT , PQF being equal and constant . Hence μOQ is the actual velocity of Q. Further if QE , QF represent the component velocities in direction and magnitude , the resulting velocity of Qis ...
... relative to P in the direction QF , the angles OPT , PQF being equal and constant . Hence μOQ is the actual velocity of Q. Further if QE , QF represent the component velocities in direction and magnitude , the resulting velocity of Qis ...
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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.