Solve for Pulley Tension and Acceleration in a Three-Block Physics System"

In summary, a student is seeking help with a physics problem involving three boxes connected by massless cables and a pulley system. They have equations set up for each mass but are struggling to get the correct answer. They explain that the problem asks for the tension between the boxes and the acceleration. Upon receiving a hint, they realize that the acceleration for masses B and C should be negative. The problem is then solved.
  • #1
Supernerd2004
20
0
Hello,

I have a physics problem most of the way worked out, but i can't seem to get the answer right. I have the problem attached to the post, so hopefully it can provide some insight to my problem.

So far i have:

(Mass A)(gravity) - (Tension 1) = (Mass A)(Acceleration)
(Mass B)(gravity)(sin45)-(Tension 1)+(Tension 2)=(Mass B)(Acceleration)
(Mass C)(gravity)(sin20)-(Tension 2) = (Mass C)(Acceleration)


The problem states that I need to solve for Tension 1, Tension 2 and acceleration.

From there, you I can solve for Tension 1 and 2, then plug them back into the equation for Mass B. I can actually get the right answer, but i have to change the sign on Mass C to get the right answer. If someone could give me a hint to where I am going wrong, that would be wonderful. Thanks so much in advance for the help.

Dan

The attachment is still pending approval, so ill try to describe the problem.

There are three boxes with the weight given. They are all attached with massless cables, and connected through a pulley system. The box on the far left is sitting on an incline of 20 degrees. The box weighs 4 pounds. A little farther up, the incline increases to 45 degrees. A pully is placed at the spot where the incline changes. The next block is sitting on this 45 degree incline and it weighs 10 pounds. The incline then peaks, and the last block is suspended in mid-air by a pully. This block weighs 30 pounds. I need to find the tension between the blocks and the acceleration.

Thanks again in advance
 

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  • #2
edit:

I edited the problem, due to the attachment needing approval. Hope this helps,

Thanks again

Dan
 
  • #3
Supernerd2004 said:
Hello,

I have a physics problem most of the way worked out, but i can't seem to get the answer right. I have the problem attached to the post, so hopefully it can provide some insight to my problem.

So far i have:

(Mass A)(gravity) - (Tension 1) = (Mass A)(Acceleration)
(Mass B)(gravity)(sin45)-(Tension 1)+(Tension 2)=(Mass B)(Acceleration)
(Mass C)(gravity)(sin20)-(Tension 2) = (Mass C)(Acceleration)


The problem states that I need to solve for Tension 1, Tension 2 and acceleration.

From there, you I can solve for Tension 1 and 2, then plug them back into the equation for Mass B. I can actually get the right answer, but i have to change the sign on Mass C to get the right answer. If someone could give me a hint to where I am going wrong, that would be wonderful. Thanks so much in advance for the help.

Dan

The attachment is still pending approval, so ill try to describe the problem.

There are three boxes with the weight given. They are all attached with massless cables, and connected through a pulley system. The box on the far left is sitting on an incline of 20 degrees. The box weighs 4 pounds. A little farther up, the incline increases to 45 degrees. A pully is placed at the spot where the incline changes. The next block is sitting on this 45 degree incline and it weighs 10 pounds. The incline then peaks, and the last block is suspended in mid-air by a pully. This block weighs 30 pounds. I need to find the tension between the blocks and the acceleration.

Thanks again in advance

Hard to tell. But a quick question: if mass A has a positive acceleration (so it accelerates downward, according to your equation), do the other two masses have also a positive acceleration? That does not seem right. Are you sure that you should not either change the sign of the acceleration of A or of both B and C?
 
  • #4
Thank you so much! The accelerations for b and c needed to be negative. Problem solved!

Thanks again

Dan
 

FAQ: Solve for Pulley Tension and Acceleration in a Three-Block Physics System"

How do you determine the tension in the pulley system?

The tension in a pulley system can be determined by using Newton's second law, which states that the net force on an object is equal to its mass multiplied by its acceleration. In this case, the net force would be the sum of the tensions in the string attached to each block. By setting up and solving equations for each block, the tension in the pulley system can be calculated.

What factors affect the acceleration of the blocks in a three-block pulley system?

The acceleration of the blocks in a three-block pulley system is affected by the mass of each block, as well as the tension in the string attached to each block. The angle at which the string is pulled can also affect the acceleration, as well as the coefficient of friction between the blocks and the surface they are on.

How can you solve for the tension and acceleration in a three-block pulley system without using equations?

One way to solve for the tension and acceleration in a three-block pulley system without using equations is by using a free-body diagram. This diagram shows all the forces acting on each block, and by analyzing these forces, the tension and acceleration can be determined. However, this method may not be as accurate as using equations.

Can the tension in a three-block pulley system ever be greater than the weight of the heaviest block?

No, the tension in a three-block pulley system can never be greater than the weight of the heaviest block. This is because the tension in the string is what supports the weight of the block, and if it were greater than the weight, the block would be lifted off the ground and the system would not be in equilibrium.

How does the number of pulleys in a three-block pulley system affect the tension and acceleration?

The number of pulleys in a three-block pulley system does not affect the tension or acceleration. The tension in the string and the acceleration of the blocks would remain the same regardless of the number of pulleys, as long as the system remains in equilibrium. However, using more pulleys can make it easier to manipulate the system and can distribute the weight among multiple strings, reducing the tension in each individual string.

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