Answer
The minimum value of the coefficient of static friction between the beam and the floor is $~~0.47$
Work Step by Step
In part (b), we found that the vertical component of the force of the floor on the beam is $~~F_y = 340~N$
In part (b), we found that the horizontal component of the force of the floor on the beam is $~~F_x = 160~N$
We can find the minimum value of the coefficient of static friction between the beam and the floor:
$F_y~\mu_s = F_x$
$\mu_s = \frac{F_x}{F_y}$
$\mu_s = \frac{160~N}{340~N}$
$\mu_s = 0.47$
The minimum value of the coefficient of static friction between the beam and the floor is $~~0.47$
