Solution of task 10.1.14 from the collection of Kepe OE

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10.1.14
The wheel 1 rolls without sliding along the horizontal plane 3 with a constant angular velocity ω = 10 rad / s. The wheel axis 2 rotates about the vertical axis Oz with a constant angular velocity ω1 = 1.7 rad / s. Determine the angular acceleration of wheel 1, if angle α = 80 °. (Answer 16.7)
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