How to Calculate Masses and Acceleration in an Atwood Machine Problem

In summary, an Atwood Machine is a simple device used to demonstrate the principles of mechanics and physics. It consists of two masses connected by a string or cable that passes over a pulley and works by utilizing the principles of Newton's laws of motion. The purpose of solving Atwood Machine problems is to gain a better understanding of these principles and develop problem-solving skills. The key variables in an Atwood Machine problem are the masses of the objects, the acceleration due to gravity, and the tension in the string. There are various real-world applications for Atwood Machines, including elevators, cranes, and weight scales, and they are also commonly used in physics experiments and demonstrations.
  • #1
Ash182
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Atwood Machine Problem please help :)

If one of the masses of an Atwood machine is 1.9 kg, what must be the other mass if the displacement of either mass is to be 0.1 m in the first second after release?
 
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  • #2


Assuming mass-less strings,etc,

Calculate the required acceleration to travel 0.1m in 1 sec from the Kinematic equation S=(1/2)at2 (here t=1 sec).

Now assuming tension in the string to be T,
Write equations of motion(F=ma) for both masses,and eliminate the tension to obtain your result
 

What is an Atwood Machine?

An Atwood Machine is a simple device used to demonstrate the principles of mechanics and physics. It consists of two masses connected by a string or cable that passes over a pulley. It is named after its creator, British scientist George Atwood, who first described it in the late 18th century.

How does an Atwood Machine work?

An Atwood Machine works by utilizing the principles of Newton's laws of motion. The two masses connected by the string experience equal and opposite forces, causing them to accelerate in opposite directions. This creates a tension in the string which allows the masses to move at different speeds.

What is the purpose of solving Atwood Machine problems?

The purpose of solving Atwood Machine problems is to gain a better understanding of the principles of mechanics and physics. It is a common exercise in introductory physics courses and can help students develop problem-solving skills and intuition for more complex systems.

What are the key variables in an Atwood Machine problem?

The key variables in an Atwood Machine problem are the masses of the objects, the acceleration due to gravity, and the tension in the string. These variables can be manipulated to solve for unknown quantities, such as the acceleration of the masses or the force of tension in the string.

What are some real-world applications of Atwood Machines?

Atwood Machines have various real-world applications, such as elevators, cranes, and weight scales. They are also used in physics experiments and demonstrations to study the principles of mechanics and motion. In addition, the concept of an Atwood Machine is the basis for many more complex mechanical systems, such as pulley systems and block and tackle mechanisms.

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