# If is increasing its speed by while maintains its

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respectively. If is increasing itsspeed by while maintains its constant speed,determine the velocity and acceleration of with respect toCar moves along a curve having a radius of curvatureofR1–19.At the instant shown, cars and travel at speedsof and respectively. If is decreasing itsspeed at while is increasing its speed atdetermine the acceleration of with respect toCar moves along a curve having a radius of curvatureof 0.75 mi.BA.B800 mi>h2,A1500 mi>h2B40 mi>h,55 mi>hBA0.5 mi.BA.BA1200 mi>h2,B40 mi>h,55 mi>hBAR1–17.A ball is launched from point at an angle of Determine the maximum and minimum speed it canhave so that it lands in the container.vA30°.A*R1–20.Four inelastic cables are attached to a plate and hold the 1-ft-long spring in compression whenno weightis on the plate. There is also an undeformedspring nested within this compressed spring. If the block,having a weight of is moving downward at when it is above the plate, determine the maximumcompression in each spring after it strikes the plate.Neglect the mass of the plate and springs and any energylost in the collision.2 ftv=4 ft>s,10 lb,0.25 ftPC1 mvAACB304 m2.5 m0.25 mProb. R1–17vB40 mi/hvA55 mi/hBA30Probs. R1–18/19Probs. R1–20/21zSA0.25 m345Probs. R1–22/23R1–22.The 2-kg spool fits loosely on the rotatinginclined rod for which the coefficient of static friction isIf the spool is located from , determinethe minimum constant speed the spool can have so that itdoes not slip down the rod.R1–23.The 2-kg spool fits loosely on the rotating inclinedrod for which the coefficient of static friction is Ifthe spool is located from , determine the maximumconstant speed the spool can have so that it does not slip upthe rod.A0.25 mms=0.2.SA0.25 mms=0.2.S
306REVIEW1KINEMATICS ANDKINETICS OF APARTICLER1–27.The 150-lb man lies against the cushion for whichthe coefficient of static friction is Determine theresultant normal and frictional forces the cushion exerts onhim if, due to rotation about the zaxis, he has a constantspeed Neglect the size of the man. Take*R1–28.The 150-lb man lies against the cushion for whichthe coefficient of static friction is If he rotatesabout the zaxis with a constant speed determinethe smallest angle of the cushion at which he will begin toslip up the cushion.uv=30 ft>s,ms=0.5.u=60°.v=20 ft>s.ms=0.5.R1–25.The bottle rests at a distance of from the centerof the horizontal platform. If the coefficient of static frictionbetween the bottle and the platform is determinethe maximum speed that the bottle can attain beforeslipping. Assume the angular motion of the platform isslowly increasing.R1–26.Work Prob. R1–25 assuming that the platformstarts rotating from rest so that the speed of the bottle isincreased at 2 ft>s2.