How Do You Calculate Tension in a Two-Mass Pulley System?

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SUMMARY

The discussion focuses on calculating the tension in a two-mass pulley system involving a 2.00 kg object on a frictionless table and an 8.00 kg hanging object. The acceleration of both objects is determined to be 7.84 m/s². The tension in the string is calculated using the formula T = 8 x (9.8 + 7.84), resulting in a tension of 141.12 N. The calculations confirm the relationship between gravitational force and tension in the system.

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  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of pulley systems
  • Familiarity with gravitational force calculations
  • Ability to perform algebraic manipulations
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  • Learn about frictionless surfaces and their implications in physics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of pulley systems and tension calculations in mechanics.

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Homework Statement


A 2.00 kg object placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 8.00 kg object, as shown in the figure. Find the magnitude of the acceleration of the two objects and the tension in the string.


http://img260.imageshack.us/img260/79/tensionpg7.th.png http://g.imageshack.us/thpix.php



The Attempt at a Solution


Through calculation, I know both objects are accelerating at 7.84 m/s2. Since the surface is frictionless, I assume the tension is contributed by the 8kg object accelerating downward and gravitational force. so T= 8 x (9.8+7.84) = 141.12N. Is my answer correct?
 
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nvm, I got this. Thank you anyway.
 

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