(Solved): The center of gravity G of a 1.5-kg unbalanced tracking wheel is located at a distance \( r=18 \mat ...

The center of gravity G of a 1.5-kg unbalanced tracking wheel is located at a distance \( r=18 \mathrm{~mm} \) from its geometric center \( B \). The radius of the wheel is \( R=60 \mathrm{~mm} \) and its centroidal radius of gyration is \( 44 \mathrm{~mm} \). At the instant shown, the center \( B \) of the wheel has a velocity of \( 0.35 \mathrm{~m} / \mathrm{s} \) and an acceleration of \( 1.2 \mathrm{~m} / \mathrm{s}^{2} \), both directed to the left. Knowing that the wheel rolls without sliding and neglecting the mass of the driving yoke \( A B \), determine the horizontal force \( P \) applled to the yoke. The horizontal force \( P \) applied to the yoke is \( \mathrm{N}+\mathrm{s} \)