Given: coefficient kinetic and coefficient static frictions

AI Thread Summary
The discussion revolves around a mechanics problem involving two blocks connected by cords over a pulley, with given coefficients of static and kinetic friction. The coefficients for Block A are Ms = 0.30 and Mk = 0.20, while for Block B they are Ms = 0.40 and Mk = 0.30. The user initially attempts to calculate the friction force at Block A using the kinetic friction coefficient but finds the problem confusing due to the presence of both static and kinetic coefficients. A suggestion is made to determine whether the system is in motion, indicating that static friction should be considered if it is not. Ultimately, the calculated friction forces are 48 lb at Block A and 36 lb at Block B.
Edwardo_Elric
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Homework Statement


A problem in engineering mechanics:
The blocks shown in the figure are connected by flexible inextensible cords passing over frictionless pulley. At Block A the coefficients of friction are Ms = 0.30 and Mk = 0.20 while at Block B they are Ms = 0.40 and Mk = 0.30. Compute the magnitude and direction of the friction force acting on each block.

coefoffriction.jpg


the answer is Friction at A = 48lb
Friction at B = 36lb

Homework Equations


R is along the angle of friction w/c has two components:
Normal force at the vertical
Friction at the horizontal



The Attempt at a Solution


I do not know how to approach the problem since there are two given coefficient of friction and it seems very confusing...

however i tried solving at block A using the coefficient of kinetic friction at A = 0.20:

F = friction
R = the force along the angle of friction
frics.jpg

the angle of friction here lies along with R which is the coefficient of friction
tan(theta) = 0.20
theta = 11.3 degrees

so i used sine law:
\frac{\sin{79}}{300} = \frac{\sin{53}}{R}
R = 244lb

R has two components: the normal force N and the friction F
F = (244lb)(sin(11.3))
F = 48lb <<< at A

i am not so sure about this..
can u give some hints its very confusing
 
Last edited:
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I don't quite understand what you're doing. Where did the angle of 11.3 come from?

The first thing I'd do is figure out if this thing moves or not. Does it?
 
no?

so ill try to use static friction
 
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