ProblemSet 8: Problem 5.Problem:Rod AB is rotating in the counterclockwise direction with constant angular velocityω. CollarP slides without friction as shown with constant relative speedu.Ifr=12fwhenθ= 0oand thecollar reaches Point B wherer=fwhenθ= 90o, what is collar P’s acceleration vector at the instantit reaches Point B? Express your answer as a function ofωandf.Solution:We know that in a coordinate frame rotating at angular velocityΩ=ωkabout Point A, thecollar is not accelerating, i.e.,aI=0whereaIis the acceleration seen by a rotating observer. In general, the collar’s absolute acceleration isa=aI+˙Ω×r+ 2Ω×vI+Ω×(Ω×r)wherevIis the collar’s velocity as seen by the rotating observer and
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