Frictional force in a free-body diagram

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SUMMARY

The discussion centers on the direction of frictional force in free-body diagrams, specifically in a scenario involving a 50 kg block as described in "Engineering Mechanics" by Meriam & Kraige. Participants clarify that friction opposes relative motion between surfaces in contact. In the case presented, if the 50 kg block were to move downward, the frictional force acting on the block above would also act downward to prevent it from separating from the moving block. This understanding resolves the confusion regarding the direction of the frictional force in the top free-body diagram.

PREREQUISITES
  • Understanding of free-body diagrams
  • Knowledge of Newton's laws of motion
  • Familiarity with frictional force concepts
  • Basic principles of static and kinetic friction
NEXT STEPS
  • Study the application of Newton's third law in mechanics
  • Explore examples of free-body diagrams in different contexts
  • Learn about static vs. kinetic friction and their implications in engineering
  • Review problem-solving techniques in "Engineering Mechanics" by Meriam & Kraige
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Students in engineering mechanics, physics educators, and anyone studying the principles of forces and motion in mechanical systems.

zeralda21
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Homework Statement


I am having trouble understanding the direction of a friction force in a sample problem from Engineering Mechanics, Meriam & Kraige. I will attach a picture for no confusion.

http://i.imgur.com/0EdCofi.jpg



The Attempt at a Solution



Consider only the top free-body diagram. Why is the friction force in that direction?

"The friction forces are assigned in the directions to oppose the relative motion which would occur if no friction were present." So where would the object move if there was no friction? Well, it would not since it is attached to a wire. If not attached, it would(or tendency) to move downward and therefore an frictional force in the opposite direction drawn. So, from my own conclusion I would have chosen:

1) Upward force or 2) No friction force at all since it would not move if there was no friction.

Why am I wrong?
 
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The object held by the wire would not move. But the object just below would.
 
voko said:
The object held by the wire would not move. But the object just below would.

Let's say that the 50kg-block would move. Then I assume it would move downward and therefore there is a friction force F_1 in the upward direction, opposite the motion, exactly as in the SECOND free-body diagram. But that doesn't explain why the friction force in the TOP f-b diagram is in the downward direction. Right?
 
Apply Newton's third law.
 
voko said:
Apply Newton's third law.

Alright, I think I see it now. Thanks voko.
 
zeralda21 said:
Let's say that the 50kg-block would move. Then I assume it would move downward and therefore there is a friction force F_1 in the upward direction, opposite the motion, exactly as in the SECOND free-body diagram. But that doesn't explain why the friction force in the TOP f-b diagram is in the downward direction. Right?

No.

The friction opposes relative motion between the surfaces in contact. If the 50 kg block moved it would leave the top block behind without friction. So the force of friction between the blocks tends to move the top block together with the 50 kg one downward.

ehild
 

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