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//  Serway & Faughn chapter 5 problem 68 difficulty 3
//  written at MSU July 1998   T&T
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//BEG prob_val=1
//LET try_val=99
//HIN space for hints
/IMP "/serway-lib/Tools/Problem#"
/LET m=random(2.20,2.505,0.01)
/LET k=random(100.0,120.5,1.0)
/LET d=random(15.0,20.05,0.1)
/LET angle=random(34.0,40.05,0.1)
/LET alpha=web("alpha","$\alpha$","<i>alpha</i>")
/LET picture=web("","\centerline{\epsfxsize=2.2in \epsffile{/serway-lib/Graphics/Graph05/serw0568.eps}}","<IMG SRC=/serway-lib/Graphics/Graph05/serw0568.gif>")
A /DIS(m:2f)/DIS(kg_u) block situated on a rough incline (assume an angle of /DIS(alpha) = /DIS(angle:1f)/DIS(deg_u)) is connected to a spring of negligible mass having a spring constant k = of /DIS(k:0f)/DIS(NPm_u) (see the figure below)./DIS(newline)
/DIS(newline)/DIS(picture)
The block is released from rest when the spring is unstretched, and the pulley is frictionless. The block moves /DIS(d:1f)/DIS(cm_u) down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline.
/LET mu=-(k*d/100./2.-m*9.8*sin(angle*pi_c/180.))/m/9.8/cos(angle*pi_c/180.)
/ANS(mu:2E,tol=2%,sig=3 plus 2,wgt=prob_val,tries=try_val)
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