Forces on two different blocks with two pulleys

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Homework Help Overview

The discussion revolves around a problem involving forces acting on two different blocks connected by two pulleys. Participants are exploring concepts related to forces, tension, and acceleration in a system where the blocks may have different masses and the effects of friction are being considered.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the blocks, including net forces in both x and y directions. There is an exploration of the implications of having two different masses and the role of tension in the system. Questions arise about the relationship between the accelerations of the two blocks and the assumptions regarding friction and mass.

Discussion Status

The discussion is active, with participants questioning assumptions about mass and friction. Some guidance has been offered regarding the use of free-body diagrams to analyze the forces acting on each mass. There is an acknowledgment of the complexity introduced by the pulleys and the need to clarify the relationship between the blocks' movements.

Contextual Notes

Participants note that the problem does not specify the coefficient of friction and that the masses of the blocks may not be equal. The assumption of an inextensible string and massless pulleys is also discussed.

Amphibia
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Homework Statement
Question 12
Relevant Equations
Scalar equations
I don't know what to do as I know the forces acting on it but not the scalar like I just don't understand the question with two different pulleys I know the tension same everywhere
20220321_231155.jpg
 
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Welcome!
How would you apply what you have studied about forces and masses and accelerations to this problem?
Don't let those pulleys confuse you.
 
Lnewqban said:
Welcome!
How would you apply what you have studied about forces and masses and accelerations to this problem?
Don't let those pulleys confuse you.
Well the forces in fnetx and fnety the m1 fnety is 0 so there's fnetx and Ft-Ff for the m1 fnetx and m2 has fnetx=0 and the Fnety is Ft-Fg my only known is gravity
 
Amphibia said:
Well the forces in fnetx and fnety the m1 fnety is 0 so there's fnetx and Ft-Ff for the m1 fnetx and m2 has fnetx=0 and the Fnety is Ft-Fg my only known is gravity
If all Fnet's are zero, there is no movement or acceleration.
But the wording of the problem suggests that there is certain acceleration, and nothing is told about coefficient of friction.
 
Lnewqban said:
If all Fnet's are zero, there is no movement or acceleration.
But the wording of the problem suggests that there is certain acceleration, and nothing is told about coefficient of friction.
Oh so there's no friction the objects are stationary and m1 and m2 are the same masses or I think m1 is = to more than the tension
 
Nothing suggests that m1 and m2 are the same masses.
I believe that you can assume that there is no friction force between m1 and the flat surface, that the string is non-extensible and that the pulleys are massless and free of friction at their pivots.

Then, the weight of m2 is not balanced by any other force and it should induce acceleration of the whole system (m1 and m2).

However, m1 and m2 can't move at the same velocity, and that should be considered and the forces acting on each should be analyzed by free-body diagrams of each mass.
 
Lnewqban said:
Nothing suggests that m1 and m2 are the same masses.
I believe that you can assume that there is no friction force between m1 and the flat surface, that the string is non-extensible and that the pulleys are massless and free of friction at their pivots.

Then, the weight of m2 is not balanced by any other force and it should induce acceleration of the whole system (m1 and m2).

However, m1 and m2 can't move at the same velocity, and that should be considered and the forces acting on each should be analyzed by free-body diagrams of each mass.
Ok so what I see now is that they don't have the same acceleration, the rope is a constant that doesn't extend, velocity is different, the masses are different and that I only see related are the normal force and the tension force of each other
 
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Amphibia said:
they don't have the same acceleration
Right, but what is the relationship between the two accelerations?
 
haruspex said:
Right, but what is the relationship between the two accelerations?
That both of their fnet are the same or they have the same amount of forces on each other
 
  • #10
Amphibia said:
That both of their fnet are the same or they have the same amount of forces on each other
No. The forces on the objects are not related in any such way.

Rather than guessing, start by drawing the free body diagrams for each mass. Then ask yourself what information you get out of that and what information you get from the string being inextensible.
 
  • #11
Amphibia said:
That both of their fnet are the same or they have the same amount of forces on each other
The relationship is kinematic, nothing to do with forces.
 

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