An object rotates about a fixed axis, such that a reference line on the object makes an angle \(...

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An object rotates about a fixed axis, such that a reference line on the object makes an angle \( \theta=a e^{b t} \) with its starting position at time \( t \). Find for a particle on object at a distance \( r \) from the axis of rotation, the tangential, the radial and the total acceleration of the point.
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