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

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In a two-mass pulley system with a 2.00 kg object on a frictionless table and an 8.00 kg hanging object, the acceleration of both masses is calculated to be 7.84 m/s². The tension in the string is derived from the gravitational force acting on the hanging mass and the acceleration, resulting in a tension of 141.12 N. The calculations confirm that the tension is influenced by the downward acceleration of the 8 kg mass. The original poster expresses confidence in their solution after initially seeking confirmation. The discussion highlights the relationship between mass, acceleration, and tension in pulley systems.
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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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