A Treatise on the Motion of a Rigid BodyJ. & J. Deighton, 1847 - 116 sider |
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Vanlige uttrykk og setninger
accelerating forces angle angular velocity axis of rotation b₁ body revolving body's motion capable of turning central ellipsoid centre of gravity centre of oscillation coexistent conical surface cylinder D'Alembert's principle Determine the motion diameter direction cosines distance dt dt dt effective force equations of motion equilibrium finite forces fixed axis fixed in space fixed point forces acting geometrical given Hence horizontal plane impressed forces impulsive forces instant instantaneous axis invariable plane lamina length mass molecule moment of inertia moments of inertia motion of translation origin parallel particle pendulum perpendicular position pressure principal axes radius rectangular axes rigid body shew small oscillations solid of revolution straight line system of principal velocities of translation vertex vibration vis viva viva w₁ w₂ Ση
Populære avsnitt
Side 24 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea...
Side 2 - The moment of inertia of a rigid body about an axis is the sum of the products of the mass of each particle by the square of the distance of that particle from the axis.
Side 23 - The pendulum constructed upon these principles is formed of a bar of plate brass, one inch and a half wide, and one eighth of an inch thick. Through this bar, two triangular holes are made, at the distance of 39'4 inches from each other, to admit the the knife edges.
Side 2 - DEF. The. moment of inertia of a rigid body about an axis is the sum of the products of the mass of each particle by the square of the distance of that particle from the axis. Thus, if m be the mass of a particle of a rigid body, r its distance from a fixed straight line, S.?ftr2 is the moment of inertia of the body about that line.
Side 2 - S mom = aJ, in which /is the moment of inertia of the body with respect to the axis of rotation.
Side 3 - Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the...
Side 99 - J a sin a. [Coll. Exam. ] Ex. 2. A circular plate revolves about its centre of gravity as a fixed point. If an angular velocity a were originally impressed on it about an axis making an angle a with its plane, a normal to the plane of the disc will make a revolution in space in a time r given by 2ir/r = w*Jl + 3 sin2 a.
Side 21 - J is the moment of inertia of the body about an axis through its centre of gravity perpendicular to the plane of the ring, and A, B, C are the principal moments of inertia at the centre of gravity.
Side 3 - If /, is the moment of inertia of a body of mass M about an axis through...
Side 80 - Energy of a particle is denned to be half the product of its mass and the square of its velocity. The...