Solution 16.1.23 from the collection Kep OE 1989

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16.1.23. Determine the pulley radius of gyration, whose mass m = 50 kg and radius R = 0,5 m, if under the influence of cable tension T = 18t it rotates around the axis Oz by law φ = t3 / 3 + 3t.

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(Chapter 3 - Dynamics theme - 16.1: Differential equations of rotation of a rigid body around a fixed Hosea) of Reshebnik to the collection of short tasks on the theoretical mechanics Kep OE, JA Viba, OP Grapis, JA Svetinysh et al. Publishing Moscow / Graduate School / 1989, 2009, 2012.
This task is completed in the word format.
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