Tensions Problem: 2 ropes and 3 blocks

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In summary, the "Tensions Problem: 2 ropes and 3 blocks" is a physics problem that involves determining the tensions in two ropes attached to three blocks hanging from a pulley system. To solve this problem, one must use the principles of Newton's laws of motion and the equations of equilibrium. Assumptions made in this problem include the masslessness of the ropes and blocks, the absence of friction in the pulley system, and the masslessness and frictionlessness of the pulley. Different methods can be used to solve this problem, such as trigonometry, vector analysis, or the method of joints. The principles of this problem also have real-life applications in various scenarios, such as determining cable tensions in a bridge or
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Homework Statement



The diagram is here http://img375.imageshack.us/img375/5...ionproblem.png [Broken]

What is the tension in the cord connecting B and C? How far does A move in the first 0.250 seconds of movement assuming it does not reach the pulley?


Homework Equations



F=ma

The Attempt at a Solution



Tension1=(Mass of A)(acceleration)
Tension1 - (Mass of B)(gravity)=(Mass of B)(acceleration)
 
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The link does not work, please attach the file instead of hotlinking it.
 

1. What is the "Tensions Problem: 2 ropes and 3 blocks"?

The "Tensions Problem: 2 ropes and 3 blocks" is a physics problem that involves determining the tensions in two ropes that are attached to three blocks hanging from a pulley system. It is a commonly used problem to illustrate the concept of tension in a system.

2. How do you solve the "Tensions Problem: 2 ropes and 3 blocks"?

To solve the "Tensions Problem: 2 ropes and 3 blocks", you will need to use the principles of Newton's laws of motion and the equations of equilibrium. This involves setting up a free body diagram for each block and applying the equations of equilibrium to determine the tensions in the ropes.

3. What are the assumptions made in the "Tensions Problem: 2 ropes and 3 blocks"?

The "Tensions Problem: 2 ropes and 3 blocks" assumes that the ropes and blocks are massless, there is no friction in the pulley system, and the pulley is massless and frictionless. These assumptions are made to simplify the problem and make it easier to solve.

4. Can the "Tensions Problem: 2 ropes and 3 blocks" be solved using different methods?

Yes, the "Tensions Problem: 2 ropes and 3 blocks" can be solved using different methods. Some common methods include using trigonometry, vector analysis, or the method of joints. Each method may provide a different approach to solving the problem, but the end result should be the same.

5. What real-life applications use the principles of the "Tensions Problem: 2 ropes and 3 blocks"?

The principles of the "Tensions Problem: 2 ropes and 3 blocks" can be applied in various real-life scenarios, such as determining the tensions in cables supporting a bridge or calculating the forces acting on a crane lifting a heavy load. These principles are also used in engineering and construction to ensure the stability and safety of structures.

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