A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 17
... constant , and , if w be the angular velocity , v = wp . The tangential acceleration is then zero , and the normal acceleration , measured inwards , is equal to wp , as in Art . ( 12 ) . 16. Or we may employ the following method . If P ...
... constant , and , if w be the angular velocity , v = wp . The tangential acceleration is then zero , and the normal acceleration , measured inwards , is equal to wp , as in Art . ( 12 ) . 16. Or we may employ the following method . If P ...
Página 23
... 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 represented by QG the diagonal of the parallelogram , and the angle OQG ...
... 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 represented by QG the diagonal of the parallelogram , and the angle OQG ...
Página 40
... constant , and equal to one another , its velocity varies as the square root of the product of its distances from these points . 9. If the acceleration of a falling body be the unit of acceleration and a velocity of 60 miles an hour the ...
... constant , and equal to one another , its velocity varies as the square root of the product of its distances from these points . 9. If the acceleration of a falling body be the unit of acceleration and a velocity of 60 miles an hour the ...
Página 41
... constant , and the rate of change of acceleration ' is directed wholly along the radius vector , prove that der = frw2 . dt2 16. A point P moves with uniform velocity in a circle ; Q is a point in the same radius at double the distance ...
... constant , and the rate of change of acceleration ' is directed wholly along the radius vector , prove that der = frw2 . dt2 16. A point P moves with uniform velocity in a circle ; Q is a point in the same radius at double the distance ...
Página 43
... constant . 31. If the axes Ox , Oy revolve with constant angular velocity w , and the component velocities of the point ( xy ) parallel to the axes are a2 - b2 a2 + b2 wy , a2 - b2 a2 + b2 wx , prove that the point describes relatively ...
... constant . 31. If the axes Ox , Oy revolve with constant angular velocity w , and the component velocities of the point ( xy ) parallel to the axes are a2 - b2 a2 + b2 wy , a2 - b2 a2 + b2 wx , prove that the point describes relatively ...
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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.