A sphere of mass \( m \) and radius \( R \) is kept on a trolley of mass \( M \) as shown in the...

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A sphere of mass \( m \) and radius \( R \) is kept on a trolley of mass \( M \) as shown in the figure. The coefficient of static and kinetic friction between the sphere and the trolley are \( \mu_{s} \) and \( \mu_{k} \), respectively. The maximum horizontal force \( F \) that can be applied to the trolley for which the solid sphere does not slip is
(A) \( \mu_{s} g\left(m+\frac{7}{2} M\right) \)
(B) \( \mu_{k} g\left(m+\frac{7}{2} M\right) \)
(C) \( \mu_{s} g\left(m+\frac{5}{2} M\right) \)
(D) \( \frac{9}{2} \mu_{s} m g \)
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