This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1906 Excerpt: ... angular momentum as is destroyed in the particle will be communicated to the remainder of the disc, so that the total angular momentum will remain unaltered. We may now imagine the stationary non-rotating particle transferred to the axis, and there again attached to the remainder of the system, without affecting the ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1906 Excerpt: ... angular momentum as is destroyed in the particle will be communicated to the remainder of the disc, so that the total angular momentum will remain unaltered. We may now imagine the stationary non-rotating particle transferred to the axis, and there again attached to the remainder of the system, without affecting the motion of the latter. If I2 is now the reduced moment of inertia of the system, and t-t its angular velocity, we have, by what has been said, I1 or wo=0!. Or, we may imagine the particle, after having been brought to rest, placed at some other position on its radius, and allowed to come into frictional contact with the disc again, till the two rotate together again as one rigid body. If Is be now the moment of inertia of the system, we shall have I3aa=I2a2=I1i1, or as--ai X 3rd Example.--Suppose that, by the application of a force always directed towards the axis, we cause a portion of a rotating body to slide along a radius so as to alter its distance from the axis. By doing so we evidently alter the moment of inertia of the system, but the angular momentum about the axis will remain constant. For example, let a disc rotating on a hollow shaft be provided with radial grooves along which two equal masses can be drawn towards the axis by means TM. 46. of strings passing down the interior of the shaft. It is clear that each of the moveable masses as it is drawn along' the groove is brought into successive contact with parts of the disc moving more slowly than itself, and must thus impart angular momentum to them, losing as much as it imparts. 4th Example.--A mass M rotates on a smooth horizontal plane, being fastened to a string which passes through a small hole in the plane, and which is held by the hand. On slackening the string the mass r...
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Add this copy of Dynamics of Rotation: An Elementary Introduction to to cart. $16.27, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
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Add this copy of Dynamics of Rotation: an Elementary Introduction to to cart. $59.79, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2022 by Legare Street Press.
