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session.masteringphysics.com/myct/mastering#/assignment/list/S522055 gle e Homel Chegg.corm Main.msstateedu Helix MastenngPhysics, Wet Asson Qouzlet MssMSU 201 8 App MasteringPhysics. Chapter 5; Assignment 1- Google Chrome D 10ThingsTokow i Secure | https://session.masteringphysics.com/myct/itemView?offset-nextBassignmentProblemiD-81980714 Problem 5.30 previous/ 12 of 14 /n Problem 5.30 Part A Suppose the coefficient of kinetic friction between ma and the plane in the figureEorel)s 0 12, and that mA mp-2.7kg As mD moves down, determine the magnitude of the acceleration of mA and mB, gven :30 Express your answer using two significant figures Submit My Answers Give Up Part B What smallest value of will keep the system from accelerating? Express your answer using two significant figures. Submit My Answers Give Up Proide Eoedback

Explanation / Answer

5.30

Taking downward motion of mB as "positive," the net motive force on the system is

F = weight of B less weight component of A less friction under A

F = [mB - mA*(sin + µ*cos)]*g

(a) Plugging in mA, mB, µ and :

F = [2.7kg - 2.7kg*(sin30 + 0.12*cos30)] * 9.81m/s² = 10.49 N

and the total mass

M = 2.7 x 2 = 5.4 kg, so the system acceleration

a = F / M = 1.9 m/s²

(b) From above, we'd need

0 = mB - mA*(sin + µ*cos)

mB/mA = sin + µ*cos

µ = (mB/mA - sin) / cos

Pluggin in mB, mA and ,

µ = [(2.7/2.7) - sin30)] / cos30 = 0.58 minimum

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