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Elements of mechanics: for the use of colleges, academies, and high schools (1859)

Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 187

An illustration from Elements of mechanics: for the use of colleges, academies, and high schools, 1859, leaf 187
(108.) Example 3. To find the moment of inertia of a circularplate with respect to an axis throughits centre perpendicular to the face ofthe plate. Let the dimensions and mass of theplate be the same as before. Let KLbe an elemetary ring whose radius is x,and whose breadth dx. Then will themass of… … Substituting this in Equation (106), and taking theintegral between the limits x = 0, and x = r, we have, K I 2Mxzdx Mr For a parallel axis at a distance d from the primitive axis, K *= M(j + d*^ ..... (109.) MOMENT OF INERTIA. 185 Example 4. To find the moment of inertia of a circularring, such as…

Mechanics

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