Chapter 6167*P6.22We adopt the view of an inertial observer. If it is on the verge of sliding, thecup is moving on a circle with its centripetal acceleration caused by friction.Fma nmga fmvrnmgyyxxss∑∑=+−=====::02µµvgrs=µ089830153...msm2ejafmgfnFIG. P6.22If you go too fast the cup will begin sliding straight across the dashboard to the left.P6.23The only forces acting on the suspended object are the force of gravity mgand the force of tension T, as shown in the free-body diagram. ApplyingNewton’s second law in the xand ydirections,FTmax∑sinθ(1)mgy∑=−=cos0orTmgcos=(2)TcosTsinmgFIG. P6.23(a)Dividing equation (1) by (2) givestan...=ag3009800306±ms22.Solving for , =°17 0.(b)From Equation (1),Tma°
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