Solve Machine Problems: Find Acceleration for Each Machine

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SUMMARY

The discussion focuses on calculating the acceleration for various machines using Newton's Second Law, specifically for Atwood machines. Participants are encouraged to apply the formula \( a = \frac{F}{m} \) where \( F \) is the net force and \( m \) is the mass of the system. The problem links to specific machine images provided via web links, which illustrate the setup for each scenario. The conversation emphasizes the importance of understanding the mechanics behind Atwood machines to derive the correct acceleration values.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with Atwood machine mechanics
  • Basic knowledge of forces and mass calculations
  • Ability to interpret diagrams and apply physical formulas
NEXT STEPS
  • Study the derivation of acceleration in Atwood machines
  • Learn how to apply Newton's Second Law in various contexts
  • Explore different types of mechanical systems and their equations of motion
  • Practice solving problems involving multiple masses and pulleys
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding the dynamics of mechanical systems.

Leo194
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Homework Statement



Find the acceleration for each of the following machines (use the same notation conventions as the previous problems; i.e. m1, m2, theta1, theta2, g, etc.). 1.

1.) http://www.webassign.net/userimages/48540?db=v4net
a=




2.)http://www.webassign.net/userimages/48541?db=v4net

a=


3.) http://www.webassign.net/userimages/48542?db=v4net
a=




Homework Equations



Newton's 2nd Law weight=mg, Force=ma

The Attempt at a Solution



i have no clue
 
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Try to give these a shot yourself... do you know the formula for a regular atwood machine?
 

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