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Static Friction and Equilibrium Analysis

PROBLEM 8-27 (page 405, 12th edition) The refrigerator weighs 120 lb and rests on a tile floor. The coefficient of static friction up between the refrigerator and the floor is 0.4. The man has weighs 200 lb. The coefficient of static friction uly between his shoes and the floor is 0.3. The man pushes horizontally on the refrigerator. · Determine whether the man can move the refrigerator. If so, does the refrigerator slide or tip? 3 ft - G 1-1.5 ft- 4 ft 3 ft A 1 PROB08_026-027.jpg Copyright @ 2010 Pearson Prentice Hall, Inc. PROBLEM 8-27 (page 405, 12th edition) MAN and REFRIGERATOR 4 ft 44t 1.5ft G 8-27 (page 405, 12th edition) COMPLETION OF PROBLEM · Data UD = 0.4 W = 2001b u = 0.3 R W =120lb M · Cartesian component equations of equilibrium Refrigerator: ! F = 0: Man: Restrictions: X !F = 0: N =120 y Z'R !(M ) = 0: 120x = 4P R !F = 0: F = P x !F = 0: N = 200 y Z R !(M ) = 0: 200x = 4P M M (1) R F = P R (2) (3) M M (4) F ! u N = 0.4(120) lb = 48lb F ! u N = 0.3(200)lb = 60lb M MM X ! 1.50ft `R · Eqs. (1) to (4) contain 5 unknowns: R F PF M X. R X `M We need another equation to solve the problem.