a 138 kg refrigerator, 2.00 m tall and 87.0 cm wide, has its center of mass at its geometrical center. you are attempting to slide it along the floor by pushing horizontally on the side of the refrigerator. the coefficient of static friction between the floor and the refrigerator is 0.550. depending on where you push, the refrigerator may start to tip over before it starts to slide along the floor. what is the highest distance above the floor that you can push the refrigerator so that it won't tip before it begins to slide?

Respuesta :

The highest distance above the floor that you can push the refrigerator so that it won't tip before it begins to slide is 0.79 m

What is torque?

Torque is known to be the rotational equivalent of a linear force. In some fields of study, it is also called moment, moment of force, rotational force, or rotational effect. It describes the ability of a force to effect a change in the rotational motion of an object.

For the given case:

F = μmg

F = frictional resistance

μ = coefficient of static friction (0.55)

m = 138 kg

g = 9.8 m/s²

F = 0.55 × 138 × 9.8

F = 743.82 N

Take the refrigerator's mid-size weight halfway to the floor,

i.e. 0.87/2 = 0.435 m

d =  0.435 m

The torque around the bottom of the refrigerator should be zero to reach the maximum range. So,

F × x = mg × d

x = ( mg × d)/ μmg

x = d/μ

x = 0.435/0.55

x = 0.79 m

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