A device consists of a smooth \( L \)-shaped rod located in a horiz...

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A device consists of a smooth \( L \)-shaped rod located in a horizontal plane and a sleeve \( A \) of mass \( m \) attached by a
\( \mathrm{P} \) weightless spring to a point \( B \) as shown in figure-3.125. The spring length is \( l \) and stiffness is equal to \( k \) the whole system
W rotates with a constant angular velocity \( \omega \) about a vertical axis passing through the point \( O \). Find the elongation of the spring. How is the result affected by the rotation direction?
Figure 3.125
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