Swinging and Rolling by Jochen Büttner

Author:Jochen Büttner
Language: eng
Format: epub
ISBN: 9789402415940
Publisher: Springer Netherlands

This statement results from the bent lever proof paired with an additional assumption. As discussed in Chap. 2, the bent lever proof provided a way of determining the ratio of the mechanical moment of a heavy body on an inclined plane tangent to a circle to the total moment of the same body on the vertical. With reference to Galileo’s motion diagram, according to the bent lever proof, it thus held that:

Furthermore, as will be demonstrated below, in the context of the considerations for which the diagram on 131 recto had originally been drafted, Galileo had considered motion along the chord cd parallel to the inclined plane lb. As the moment along an inclined plane depends only on the inclination, the mechanical moments of one and the same mobile body on the parallel planes lb and cd are the same:

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