Solution to problem 14.4.17 from the collection of Kepe O.E.

14.4.17 Determine the moment of inertia of a thin homogeneous disk with mass m = 4 kg relative to the Oy axis, if radius r = 0.2 m. (Answer 0.2)

Problem 14.4.17 from the collection of Kepe O.?. consists in determining the moment of inertia of a thin homogeneous disk with a mass of 4 kg relative to the Oy axis, if the radius of the disk is 0.2 meters.

The moment of inertia is a physical quantity that characterizes the inertia of a body relative to its rotational motion. For a thin disk, the moment of inertia can be calculated using the formula I = (m * r^2) / 2, where m is the mass of the disk, r is the radius of the disk.

Based on this formula and the data of the problem, the moment of inertia of the disk relative to the Oy axis is equal to 0.2.

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The book "Collection of problems in higher mathematics" by O.?. Kepe contains many problems on various topics related to higher mathematics. One of these problems - 14.4.17 - requires solving an equation containing several variables and derivatives of functions. To solve it, it is necessary to apply methods of differential calculus and algebra. Solving this problem can be useful for mathematics students and teachers, as well as for anyone interested in higher mathematics and its applications.

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