A refrigerator is at rest on a level floor. Attempting to slide it across the floor, you exert a horizontal pushing force P at a height y above the floor, as in the figure. If y is too large, the refrigerator will tip instead of sliding. Find the largest value of y that makes the refrigerator slide without tipping if its mass is M = 122 kg, its center of mass is located where d = 0.32 m and h = 0.99 m, and the coefficient of static friction between the refrigerator and the floor is μs = 0.33. [Hints: Use the equilibrium conditions to place the refrigerator on the verge of both sliding and tipping (but not doing either). When the refrigerator is on the verge of tipping, the normal force will act at its lower front corner.] y = P Y m M cm- h -d-

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Chapter12: Static Equilibrium And Elasticity
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A refrigerator is at rest on a level floor. Attempting to slide it across the floor, you exert a horizontal
pushing force Pat a height y above the floor, as in the figure. If y is too large, the refrigerator will tip
instead of sliding. Find the largest value of y that makes the refrigerator slide without tipping if its
mass is M = 122 kg, its center of mass is located where d = 0.32 m and h = 0.99 m, and the
coefficient of static friction between the refrigerator and the floor is μ = 0.33.
[Hints: Use the equilibrium conditions to place the refrigerator on the verge of both sliding and
tipping (but not doing either). When the refrigerator is on the verge of tipping, the normal force will
act at its lower front corner.]
y =
P
Y
m
M
cm-
h
d-
Transcribed Image Text:A refrigerator is at rest on a level floor. Attempting to slide it across the floor, you exert a horizontal pushing force Pat a height y above the floor, as in the figure. If y is too large, the refrigerator will tip instead of sliding. Find the largest value of y that makes the refrigerator slide without tipping if its mass is M = 122 kg, its center of mass is located where d = 0.32 m and h = 0.99 m, and the coefficient of static friction between the refrigerator and the floor is μ = 0.33. [Hints: Use the equilibrium conditions to place the refrigerator on the verge of both sliding and tipping (but not doing either). When the refrigerator is on the verge of tipping, the normal force will act at its lower front corner.] y = P Y m M cm- h d-
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