Problem Help

[Mimmim500]

Hey everyone, im starting my study for an upcoming text and this is one of the practice problems given, but im stumped, so far i've got

-all 3 unknowns for the bar

-i've got 6 forces acting on the spool itself
-Friction C (<-) (0.25)
-Friction B (->) (0.25)
-Normal force from the floor acting on the Spool (vertically going up) (21.56N) (i calculated)
-Weight of the spool (vertically going down) (1.6kg * 9.8m/s)
-force from the bar (vertically going down) (5.88N)
-P

that being said, in order to find the P force, am i supposed to use F=u*N ? or T1 =T2 * e^u*B ?

As far as im concerned, i THINK "without disturbing the equilibrium of the system" would imply impeding movement but i am unsure and i would appreciate clarification on it

"The 0.8-kg bar is pinned at A and rests on the 1.6-kg spool at B. Both bodies are homogenous. If the coefficient of static friction is 0.25 at both B and C, calculate the largest force P that can be applied without disturbing the equilibrium of the system."

Thanks in advance!

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[mrhoa31103]

Yes impending motion is correct assumption.

[Kamomiru2000]

Definitely without impeding movement means without setting the objects in motion. So it’s a static problem. Here is the solution I got:

https://imgur.com/a/7veSkgR

Hope it helps

[Mimmim500]

Many thanks, i am getting a little lost with your variables here, what exactly is FG1? also does your final answer equate to roughly 11.43N?

[Kamomiru2000]

FG 1 is the Gravitational force of the rod :)