Problem Check: Equilibrium of Particles

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SUMMARY

The discussion centers on a physics problem involving a continuous cable wrapped around pulleys and the equilibrium of particles. The total length of the cable is 4 meters, with each spring stretched by 300 mm, and the unstretched length of the springs is 2 meters. Participants confirm that the spring tensions equal the weights of the blocks, indicating a special case of equilibrium. The solution requires careful consideration of the forces acting on the system, particularly the relationship between spring tension and mass.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of spring mechanics and Hooke's Law
  • Familiarity with equilibrium conditions in physics
  • Basic problem-solving skills in mechanics
NEXT STEPS
  • Study Hooke's Law and its applications in spring systems
  • Learn about equilibrium conditions in static systems
  • Explore problems involving pulleys and tension forces
  • Review concepts of mass and weight in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of equilibrium problems involving springs and pulleys.

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Homework Statement


A continuous cable of total length 4 m is wrapped around the small pulleys at A, B, C, D. If each spring is stretched 300 mm, determine the mass m of each block. Neglect the weight of the pulleys and cords. The springs are unstretched when d=2 m.

The Attempt at a Solution



I just need someone to tell me if I've done this correctly. Thank you!
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it stopped as a square! (very special case) where the spring tensions are equal the weights. looks right.
there will be lots of "accidentally correct" (or lucky guess, then check) answers to this one!
 

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