A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 57
... elastic string and pulled apart ; potential energy is thus stored up , and if the balls be let go , kinetic energy is acquired which is the exact equivalent of the loss of potential energy due to the contraction of the string . 52. The ...
... elastic string and pulled apart ; potential energy is thus stored up , and if the balls be let go , kinetic energy is acquired which is the exact equivalent of the loss of potential energy due to the contraction of the string . 52. The ...
Página 68
... elastic string . If x be the length at the time t , and T the tension , the equation of motion is or whence α mä = mg — T = mg −λa , by Hooke's Law , - ä + X - α - λ ma mag λ a ( mag XC -α = λ = A cos √ λ λ t + B sin ma ma Suppose ...
... elastic string . If x be the length at the time t , and T the tension , the equation of motion is or whence α mä = mg — T = mg −λa , by Hooke's Law , - ä + X - α - λ ma mag λ a ( mag XC -α = λ = A cos √ λ λ t + B sin ma ma Suppose ...
Página 72
... elastic balls impinge directly on each other , that is , if the line joining their centres be the line of motion of ... elasticity , the relative velocity of the two balls after impact is reversed in direction and is to the relative ...
... elastic balls impinge directly on each other , that is , if the line joining their centres be the line of motion of ... elasticity , the relative velocity of the two balls after impact is reversed in direction and is to the relative ...
Página 73
... elastic bodies , energy is lost by impact ; only , if the elasticity be perfect , that is , if e = 1 , no energy is lost . Thus , in the case of the direct impact of two elastic balls , we see from the preceding equation that so that ...
... elastic bodies , energy is lost by impact ; only , if the elasticity be perfect , that is , if e = 1 , no energy is lost . Thus , in the case of the direct impact of two elastic balls , we see from the preceding equation that so that ...
Página 79
... 1 + e , where e is the coefficient of elasticity between the ball and the sand , we shall obtain the quantity of motion created in the normal direction outwards round the zone , and , dividing by St , JET OF SAND . 79.
... 1 + e , where e is the coefficient of elasticity between the ball and the sand , we shall obtain the quantity of motion created in the normal direction outwards round the zone , and , dividing by St , JET OF SAND . 79.
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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.