Solve Atwood System Equilibrium: Find Tension in lbs

In summary, the system is in equilibrium with massless and frictionless pulleys. The task is to find the tension T, using the equation F=ma=0. The acceleration of gravity is 32 ft/s2 and the answer should be in units of lb. To solve this problem, it is important to draw free body diagrams for the 93 slug body and both moving pulleys, and note that the forces at each pulley must cancel as they are massless.
  • #1
wmrunner24
58
0

Homework Statement



The system is in equilibrium and all pulleys
are massless and frictionless.

Find the tension T. The acceleration of
gravity is 32 ft/s2. Note : lb = slug · ft/s2.

Answer in units of lb.

Physics4.jpg


Homework Equations


F=ma=0


The Attempt at a Solution


So, I'm totally lost an really in need of a good point in the right direction. How do I even begin to figure this out? I only have two numbers. The net force on this object must be equal to 0 as well. But, how do I derive an equation? Any help is greatly appreciated.
 
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  • #2
Write on the free body diagrams for the 93 slug body and for both moving pulleys. You have three ropes, with three different tensions. The pulleys are massless so the forces acting at each pulley must cancel.

ehild
 

FAQ: Solve Atwood System Equilibrium: Find Tension in lbs

1. What is the Atwood system?

The Atwood system is a simple mechanical device used to demonstrate principles of equilibrium and acceleration. It consists of two masses connected by a string or rope that passes over a pulley. The system is named after British mathematician George Atwood who first described it in the late 18th century.

2. How do you solve for tension in an Atwood system?

To solve for tension in an Atwood system, you need to set up and solve equations based on Newton's laws of motion. The key is to recognize that the two masses in the system have different accelerations, which are related to each other by the tension in the rope. By setting up equations for each mass and solving simultaneously, you can find the tension in the rope.

3. What units are used to measure tension in an Atwood system?

Tension is typically measured in pounds (lbs) in an Atwood system. However, it can also be measured in other units such as newtons (N) or dynes (dyn).

4. What factors affect the tension in an Atwood system?

The tension in an Atwood system is affected by several factors, including the masses of the objects, the acceleration due to gravity, and the angle of the string or rope. Additionally, any external forces acting on the system, such as friction or air resistance, can also affect the tension.

5. Why is it important to find the tension in an Atwood system?

Knowing the tension in an Atwood system is important in understanding the forces at play in the system and predicting its behavior. It can also be useful in designing and optimizing mechanical systems that use pulleys and ropes, such as elevators and cranes.

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