How Is Tension Calculated in an Atwood Machine?

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SUMMARY

The tension (T) in an Atwood Machine is calculated using two simultaneous equations: T - m1g = m1a and a = (m2 - m1) / (T - m1). These equations allow for the determination of tension based on the masses (m1 and m2) and gravitational acceleration (g). The discussion references HyperPhysics as a resource for further understanding the mechanics involved in the Atwood Machine.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with basic algebra and simultaneous equations
  • Knowledge of gravitational acceleration (g)
  • Concept of mass in physics
NEXT STEPS
  • Study the derivation of Newton's Second Law of Motion
  • Explore the concept of acceleration in different physical systems
  • Learn about the dynamics of pulleys and their applications
  • Investigate additional resources on Atwood Machines, such as simulations or interactive models
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of motion and forces in simple machines.

RufusTFirefly
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With an Atwood Machine, I understand that the formula for calculating T can be calculated with two simultaneous equations.

T-m1g=m1a

a= (m2 - m1
(

T – m1
 
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