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# A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man's shoes and the merry-go-round is$μ_S = 0.5,$how far from the axis of rotation can he stand without sliding?

Solutions

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Given:

• Angular velocity of a merry-go-round: $\omega=2.5 \,\frac{\text{rad}}{\text{s}}$;
• Coefficient of static friction: $\mu_\text{S}=0.5$;

Required:

• Distance from the axis of rotation where man can stand without sliding.

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