Determining Scale Readings on an Atwood Machine

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SUMMARY

The discussion focuses on calculating the scale readings in an Atwood Machine setup with two masses: 800g and 400g. The readings are determined using the formula Fg = mg, resulting in Scale 1 reading 7.84 N and Scale 2 reading 3.92 N. The analysis assumes a massless, frictionless ideal pulley, emphasizing the need for free body diagrams and Newton's 2nd law to solve for the tension force in an accelerating system.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of gravitational force calculations (Fg = mg)
  • Familiarity with free body diagrams
  • Basic principles of Atwood Machines
NEXT STEPS
  • Study the principles of Atwood Machines in detail
  • Learn how to draw and analyze free body diagrams
  • Explore Newton's 2nd law applications in dynamic systems
  • Investigate the effects of pulley friction on scale readings
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding the dynamics of Atwood Machines and force calculations.

doug1
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Homework Statement



Two masses, measuring 800g and 400g respectively, are attached to spring scales and an Atwood Machine. What will the reading of each scale be?

https://www.physicsforums.com/attachments/52223

Homework Equations



Fg = mg

The Attempt at a Solution



I think that the reading on each spring scale will equal the force of gravity acting on each attached mass.

For Scale 1:

Reading = Fg = mg
= (0.8kg)(9.8N/kg) = 7.84 N

For Scale 2:

Reading = Fg = mg
= (0.4kg)(9.8N/kg) = 3.92 N

Is this correct?
 
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Can't open the attachment, but assuming a massless frictionless ideal pulley (yes??), the tension in the rope as measured by the scale must be the same on both sides of the pulley. You will need to draw a free body diagram for each mass to identify the forces acting on each, then use Newton's 2nd law on each to get 2 equations to solve for the tension force (scale reading). Note that the system is accelerating.
 

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