PROBLEM $2.(20$ points$)$

GIVEN: A man has weight of $W_m=180lb$ and the

coefficient of static friction between the floor and

his shoes is ${}_1=0\mathrm{.}65.$ The refrigerator has a

weight of $W_f=220lb$ and rests on a floor for which

the coefficient of static friction is ${}_2=0\mathrm{.}35.$

Suppose he pushes horizontally on the

refrigerator, see the diagram at the right.

FIND:

$($a$)$ Draw two free body diagrams showing the forces acting $($i$)$ on the man and $($ii$)$ on the refrigerator

separately.

$($b$)$ Determine the force required to move the refrigerator by slipping.

$($c$)$ Calculate the force required to move the refrigerator by tipping at point $A.$

$($d$)$ Consider the frictional force between the floor and the man's shoes, can the man move the

refrigerator? If yes, does the refrigerator slip or tip? Show all calculations in coming to these

conclusions.