 That is, the moment of inertia of a particle about a given axis is equal to the product of the mass of the particle and the square of its distance from the axis.  A Text-book of Physics - Page 72by Louis Bevier Spinney - 1911 - 605 pagesFull view - About this book
 | Mathematics - 1860 - 426 pages
...the angular momentum, with respect to an origin in that plane, has its axis normal to the plane, and is equal to the product of the mass of the particle and its areal velocity about the origin. 2. Undisturbed Motion. Suppose a particle to be in motion under... | |
 | Edward Albert Bowser - Kinematics - 1884 - 550 pages
...or Kinetic Energy A of the mass m; that is, vis viva or kinetic energy is a quantity which varies as the product of the mass of the particle and the square of its velocity. There is particular advantage in defining vis viva, or kinetic energy, as half * See Thomson... | |
 | James Gordon MacGregor - Dynamics - 1887 - 540 pages
...(123, and 106) 1.m(yx-xy). 423. It follows from 124 that the moment of the acceleration of momentum of a particle about a given axis is equal to the product of its mass into the rate of change of the moment of its velocity, and therefore to the rate of change... | |
 | James Gordon MacGregor - Dynamics - 1887 - 540 pages
...(123, and 106) 2m(yx-xy). 423. It follows from 124 that the moment of the acceleration of momentum of a particle about a given axis is equal to the product of its mass into the rate of change of the moment of its velocity, and therefore to the rate of change... | |
 | Sir John Ambrose Fleming - Electric apparatus and appliances - 1902 - 488 pages
...for the periodic time T of the simple equivalent pendulum the expression 9 The quantity m /*, viz. the product of the mass of the particle and the square of its distance from the centre of suspension, is called the Moment of Inertia of the simple pendulum. The C quantity -j is... | |
 | Ervin Sidney Ferry - Physics - 1903 - 446 pages
...Therefore the quantity we have called rotational inertia, or the moment of inertia has for its value, the product of the mass of the particle and the square of the distance of this mass from the axis of rotation. If there are a number of particles of masses m^,... | |
 | Ervin Sidney Ferry - 1903 - 164 pages
...Therefore tlie quantity we have called rotational inertia, or the moment of inertia has for its value, the product of the mass of the particle and the square of the distance of this mass from the axis of rotation. If there are a number of particles of masses wz,,... | |
 | Ervin Sidney Ferry - Dynamics - 1906 - 202 pages
...this with (77), we obtain J Fx &= — =— (78) That is, the moment of ' inertia of a particle equals the product of the mass of the particle and the square of its distance from the axis of rotation. It can be shown, although the proof will not be here given, that the moment of inertia... | |
 | William Suddards Franklin, Barry MacNutt - Mechanics - 1908 - 314 pages
...force since no other force * acts on the piece of metal, and the value of the force in dynamic units is equal to the product of the mass of the particle and its acceleration, according to equation (3). Therefore we may substitute the value of a from equation... | |
 | Oliver Clarence Lester - Integrals - 1909 - 81 pages
...Cr*dm 30. Moment of inertia.* The moment of inertia of a material particle with respect to a plane is the product of the mass of the particle and the square of its distance from the plane. Thus if m is the mass of a particle and r is its perpendicular distance from a fixed plane E,... | |
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