How Does Tension Affect Acceleration in a Two-Mass System?

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SUMMARY

The discussion focuses on calculating the acceleration of a two-mass system consisting of a 0.5 kg mass on a frictionless table and a 0.02 kg mass hanging freely. The tension in the string connecting the two masses is analyzed, with the understanding that it has both horizontal and vertical components. The gravitational force acting on the hanging mass is identified as 0.02g, which influences the overall acceleration of the system. The total mass of the system must be considered to accurately determine the acceleration.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Basic knowledge of tension in strings and forces
  • Familiarity with gravitational force calculations
  • Concept of mass and acceleration in physics
NEXT STEPS
  • Study the derivation of acceleration in two-mass systems using Newton's laws
  • Learn about the role of tension in connected mass systems
  • Explore the effects of friction on acceleration in similar setups
  • Investigate the impact of varying angles on tension and acceleration
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Physics students, educators, and anyone interested in mechanics, particularly those studying dynamics and the behavior of connected mass systems.

John O' Meara
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A body of mass .5kg, rests on a smooth horizontal table, and is connected by a string, which passes over the edge of the table, with a mass of .02kg hanging freely. find the acceleration of the system.
My attempt: let the tension of the piece of string between the table edge and the .5kg body be T directed towards the table edge. This tension is the same as the tension between the table edge and the suspended .02kg body, yes,no?
Since the string between the table edge and the .5kg body in not horizontal, the Tension T has components, Tcos(theta) parallel to the table and Tsin(theta) perpendicular to the table, but the angle theta is unknown.
Thanks.
 
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As the table is frictionless I would assume that the only force acting is that of gravity. Hence the force acting on the system is [itex]0.02g[/itex]. Can you go from here? Don't forget the total mass of the system is not 0.02kg.
 

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