FB Diagram Problem: Is My Sketch Correct?

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Homework Help Overview

The discussion revolves around a free body diagram (FBD) problem involving a pulley system, specifically questioning the accuracy of sketches and the relationships between tensions in the system.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are examining the correctness of their sketches and FBDs, particularly focusing on the forces acting on the pulley and the relationship between different tensions in the system.

Discussion Status

Some participants have provided feedback on the accuracy of the FBDs, noting that the forces may not be correctly represented. There is a suggestion that the pulley’s FBD may not be necessary for the problem at hand, while others seek clarification on the correct representation of forces.

Contextual Notes

There is mention of assumptions regarding the pulley being frictionless and massless, as well as the need for a supporting reaction force on the pulley, which may not have been included in the original sketches.

chemic_23
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Homework Statement



freebd.jpg


Homework Equations



Is my sketch(illustration) and fbd correct? Is T(orange) = T (blue)?

The Attempt at a Solution

 
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chemic_23 said:

Homework Statement



freebd.jpg


Homework Equations



Is my sketch(illustration) and fbd correct?
Yes, for the bucket. The fbd of the pulley is not correct, your forces are not in the right direction, and there is an additional force on the pulley not shown at the point where it is supported. But don't worry about the fbd of the pulley, since you don't need that one.
Is T(orange) = T (blue)?
Yes, as long as the pulley is frictionless and massless.
 
can you give me the correct fbd for the pulley? I just want to know.
 
I think fbd: (pulley) should be fbd: (hand)? is it correct?
 
As Jay mentioned, you don't need the force diagram for the pulley since all it does in this question is change the direction of a force. In this case, a force F causes a tension T in the rope, which is redirected to pull the block upwards.

Perhaps what you need is a force body diagram for the hand/thing that provides the force F.
 
chemic_23 said:
can you give me the correct fbd for the pulley? I just want to know.
jaseh86 is correct. If you want to know the free body diagram of the pulley,which must be anchored to a table or such, you have T acting to the right, and T acting down (the rope tension), and for equilibrium, you must have the table supporting reaction force, R, acting up and to the left at a 45 degree angle thru the center of the pulley (R= T/cos45 = 1.414T). But don't fool with it.
 

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