System of equations with acceleration and tension

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SUMMARY

The discussion focuses on deriving a system of equations to determine the linear acceleration and tension in a pulley system with a 100-gram mass. The first equation established is T = mg - ma, where T represents tension, m is mass, and a is acceleration. Participants seek additional equations to complete the system, emphasizing the need for information about the pulley to solve for both variables effectively.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Basic knowledge of pulley systems and forces
  • Familiarity with algebraic manipulation of equations
  • Concept of tension in strings and its relation to mass and acceleration
NEXT STEPS
  • Research the dynamics of pulley systems and their equations of motion
  • Learn about free-body diagrams to visualize forces acting on the mass
  • Explore the role of friction in pulley systems and its impact on tension
  • Study advanced topics in classical mechanics, such as rotational dynamics if applicable
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of problem-solving in systems of equations involving forces and motion.

Bob Rudd
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Homework Statement


So there is a pulley with 1 mass hanging from it. The string is wrapped around and one end is taped to the pulley so that only one end of the string hangs from the pulley. There is a mass of 100 grams attached to that string. Create a system of equations to find linear acceleration of the descending mass and the tension in the string connecting the mass to the disk.

Homework Equations


F=ma

The Attempt at a Solution


The first equation would be T=mg-ma because the body is falling downward. How would i find the other equation with T and a to help me create a system of equations
 

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Do you have any information about the pulley?
 

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