Given: A belt is wrapped around two pulleys, each of radius R. The ends of the belt are attached to rigid bar
OH
at points
A
and
B
, as shown.. A rigid arm is welded to the disk on the right, with a force
P
acting at end
E
of the arm. A second force
F
acts at end
H
of
armOH
. Let
μ
S
​

represent the coefficient of static friction between the belt and the drums. Find: Determine the smallest value of
F
that is required to prevent slipping between the belt and either drum. Express your answer in terms of the load
P
. Use the following in your analysis:
μ
S
​
=0.4