Static equilibrium and tension problem

In summary: Since Tz is the middle tension then Ty would be the same for both the right and left blocks and the expression would be the same. If the question asked for the middle tension, then the answer would be Tz-48N=3kg*2m/s and not Tz=54N.
  • #1
Vanessa23
41
0

Homework Statement



Four blocks with masses 2kg, 4kg, 6kg, 3kg are held together with ropes with tensions Tx, Ty, Tz. There is a force of 20N pointing to the right and 50N to the left. Find Tz.

Homework Equations





The Attempt at a Solution



This is like the static equilibrium problems, yet everything is moving. How do I find Tz?
 
Physics news on Phys.org
  • #2
F=ma on each block. Since the ropes are not stretching a is the same for all blocks.
 
  • #3
So, since a is the same for all the blocks would I say:

50N-20N=15kg*a
a=2m/s

then F on box D would be Tz-48N=3kg*2m/s
Tz=54N

I feel hesitant not including the other masses and tensions...
 
  • #4
Vanessa23 said:
I feel hesitant not including the other masses and tensions...
If you want to work out all of the other tensions for each mass you certainly can, but all it will do is make you feel more confident :)

EDIT:
Vanessa23 said:
Tz-48N=3kg*2m/s
Tz=54N
Where did the 48N come from, shouldn't that be either 20N or 50N depending on how the blocks are arranged?
 
Last edited:
  • #5
Sorry, I meant
Tz-20N=3kg*2m/s
Tz=26N

but why does it not matter what all of the other tensions, masses, and forces are? Why doesn't the calculation for Tz include the fact that there is a 50N force in the other direction as well as other blocks and other ropes?
 
  • #6
While calculating the acceleration of the whole system you have taken into account all the forces and masses. They have named the tensions as Tx,Ty and Tz to make sure that which tension you have to calculate, proveded you arrange the blocks in same order as given in the problem.
 
  • #7
So, then what would happen if the question asked for the middle tension?
 
  • #8
Wright the expression for Ty - Tz
 

What is static equilibrium?

Static equilibrium is a state in which all forces acting on an object are balanced, resulting in no acceleration or movement. This means that the object is either at rest or moving at a constant velocity.

How do you determine if an object is in static equilibrium?

To determine if an object is in static equilibrium, you must first draw a free body diagram that includes all the forces acting on the object. Then, use Newton's first law of motion to analyze the forces and determine if they are balanced or unbalanced. If the forces are balanced, the object is in static equilibrium.

What is tension?

Tension is a force that is transmitted through a rope, string, or cable when it is pulled tight by forces acting at each end. It is a pulling force that is often present in static equilibrium problems.

How do you solve a static equilibrium and tension problem?

To solve a static equilibrium and tension problem, you must first draw a free body diagram of the object and identify all the forces acting on it. Then, use Newton's first law of motion to set up and solve equations that represent the forces in the horizontal and vertical directions. Finally, check your solution to ensure that the forces are balanced and the object is in static equilibrium.

What are some common mistakes when solving static equilibrium and tension problems?

Some common mistakes when solving static equilibrium and tension problems include forgetting to include all the forces in the free body diagram, using incorrect signs for the forces, and not setting up and solving the equations correctly. It is important to carefully analyze the problem and double check your work to avoid these mistakes.

Similar threads

  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
2
Replies
57
Views
4K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
938
  • Introductory Physics Homework Help
Replies
8
Views
6K
  • Introductory Physics Homework Help
Replies
5
Views
7K
  • Introductory Physics Homework Help
Replies
2
Views
1K
  • Introductory Physics Homework Help
Replies
19
Views
702
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
8
Views
2K
Back
Top