F=ma 2024 Problem 02

Physics · mechanics

Problem

Question: An amusement park ride consists of a circular, horizontal room. A rider leans against its frictionless outer walls,which are angled back at 30∘30^{\circ} with respect to the vertical, so that the rider's center of mass is 5.0m5.0 m from the center of the room. When the room begins to spin about its center, at what angular velocity will the rider's feet first lift off the floor? (A) 1.9rad/s1.9 \mathrm{rad}/\mathrm{s}. (B) 2.3rad/s2.3 \mathrm{rad}/\mathrm{s}. (C) 3.5rad/s3.5 \mathrm{rad}/\mathrm{s}. (D) 4.0rad/s4.0 \mathrm{rad}/\mathrm{s}. (E) 5.6rad/s5.6 \mathrm{rad}/\mathrm{s}.

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