A Treatise on DynamicsBell and Company, 1893 - 448 páginas |
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Página 41
... shew that the acceleration of the point R is represented in magnitude and direction by RQ . 17. The tangent at a point P of a parabola meets the tangent at the vertex in Y and the axis in T. If Y move with uniform velocity , shew that T ...
... shew that the acceleration of the point R is represented in magnitude and direction by RQ . 17. The tangent at a point P of a parabola meets the tangent at the vertex in Y and the axis in T. If Y move with uniform velocity , shew that T ...
Página 42
... shew that the acceleration of the point in contact with the straight line varies inversely as p , but if with uniform angular velocity directly as p ; p being the radius of curvature of the curve at the point of contact . 24. A curve ...
... shew that the acceleration of the point in contact with the straight line varies inversely as p , but if with uniform angular velocity directly as p ; p being the radius of curvature of the curve at the point of contact . 24. A curve ...
Página 43
... Shew ( i ) that if the point moves uniformly , the curve is an equiangular spiral— ( ii ) if the velocity of the point vary inversely as the distance of C from its line of motion , the curve is a reciprocal spiral . 30. A point moves in ...
... Shew ( i ) that if the point moves uniformly , the curve is an equiangular spiral— ( ii ) if the velocity of the point vary inversely as the distance of C from its line of motion , the curve is a reciprocal spiral . 30. A point moves in ...
Página 44
... shew that the acceleration perpen- dicular to PY of the point of the curve in contact at Pxx - 2y - 2p , where CỸ = p , and x , y are the co - ordinates of P referred to the axes . 38. A point moves in a plane with an angular velocity w ...
... shew that the acceleration perpen- dicular to PY of the point of the curve in contact at Pxx - 2y - 2p , where CỸ = p , and x , y are the co - ordinates of P referred to the axes . 38. A point moves in a plane with an angular velocity w ...
Página 45
... shew that the component accelerations are uv ú + and i r Xuv p2 and determine u , v ( the component velocities ) in terms of x and r . 43. The position of a point is given by the co - ordinates x , y , r , where x , y , z , r have their ...
... shew that the component accelerations are uv ú + and i r Xuv p2 and determine u , v ( the component velocities ) in terms of x and r . 43. The position of a point is given by the co - ordinates x , y , r , where x , y , z , r have their ...
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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.