How Do You Calculate Tension and Acceleration in a Pulley System?

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SUMMARY

The discussion focuses on calculating tension and acceleration in a pulley system involving two blocks. The key equation utilized is Fnet = ma, where W = mg (with m being the mass of the blocks, 6 kg, and g as 9.8 m/s²). Participants suggest labeling the lengths of the cords as variables (a and b) and establishing a relationship between them to simplify the equations. This approach allows for the derivation of acceleration and tension values in the system.

PREREQUISITES
  • Understanding of Newton's second law (Fnet = ma)
  • Basic knowledge of pulley systems and their mechanics
  • Ability to manipulate algebraic equations
  • Familiarity with free body diagrams
NEXT STEPS
  • Learn how to draw and analyze free body diagrams for pulley systems
  • Study the principles of tension in strings and ropes
  • Explore advanced topics in dynamics, such as systems with multiple pulleys
  • Investigate the effects of friction in pulley systems
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for effective methods to teach tension and acceleration concepts in pulley systems.

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Homework Statement


Determine the tension developed in the cords attached to each block and the accelerations of the blocks. Neglect the mass of the pulleys and cords. I have attached the picture below.


Homework Equations


Fnet=ma


The Attempt at a Solution



W=mg=(6*9.8)
I have no idea how to proceede any further
 

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… give the lengths names …

Hi myoplex11! :smile:

The first thing to do is to give the lengths of the cords letters, such as a and b.

I haven't seen the picture yet, so I don't even know if there's two blocks, but I assume a + b is a constant, so you can call that c, and then eliminate b by putting b = c - a.

Then you use your F = mx´´ equation to get an equation in a´´. :smile:
 

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