Finding the acceleration of the center of mass

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SUMMARY

The discussion focuses on calculating the acceleration of the center of mass (c.o.m) for a system subjected to two forces: F1 = 2i + 3j N on mass m1 = 1.5 kg and F2 = i + j N on mass m2 = 1.0 kg. The key equation to use is the net external force divided by the total mass of the system. The total force acting on the system is the vector sum of F1 and F2, and the total mass is the sum of m1 and m2. The acceleration of the c.o.m can be determined using these values.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of vector addition
  • Familiarity with the concept of center of mass
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the center of mass formula
  • Learn about vector forces and their components
  • Explore applications of Newton's laws in multi-body systems
  • Practice problems involving acceleration of the center of mass
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Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for examples of force and acceleration concepts.

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Homework Statement


Two forces F1 →= 2i ^ + 3j^N acting on a mass m1 =1.5 kg, andF2→= i^+ j^N acting on a mass m2= 1.0 kg.The magnitude of the acceleration of the center of mass of the system is?
 
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What equation do you know that relates the acceleration of the c.o.m of a system and the external forces acting on the system?
 
Moderator's note: This same question was posted in other forums. Posting the same question multiple times is against PF rules. The other copies have been deleted; this one remains as it is the most appropriate place for discussion of the question.
 

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