ΟΙ10.22. Bug on a hoop **A hoop of radius R is made to rotate at constant angular speed @ arounda diameter, as shown in Fig. 10.20. A small bug of mass m walks atconstant angular speed around the hoop. Let F be the total force thatthe hoop applies to the bug when the bug is at the angle shown, andlet F be the component of F that is perpendicular to the plane of thehoop. Find F₁ in two ways (ignore gravity in this problem):0(a) Work in the lab frame: At the angle 0, find the rate of change ofthe bug's angular momentum around the rotation axis, and thenconsider the torque on the bug.(b) Work in the rotating frame of the hoop: At the angle 0, find the Fig. 10.20relevant fictitious force, and then take it from there.R-bug18

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