Pulley and Blocks: Is My Answer Correct?

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SUMMARY

The discussion centers on the application of Newton's second law to a pulley system involving two blocks, m1 and m2. The user derived the acceleration equations a2 = m2g / (4m1 + m2) and a1 = 2m2g / (4m1 + m2) based on the forces acting on each block. The consensus among participants confirms the correctness of these equations, validating the user's calculations for the system's dynamics.

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Homework Statement
In term of m1, m2 and g, find the acceleration of each block. There is no friction anywhere in the system
Relevant Equations
∑F= ma
1 1.png
155434234_755501075359888_7661044753117238048_n.jpg

  • Block m2:
    m2g - 2T = m2a2 (1)
  • Block m1:
    ∑F= ma
    T= m1a1 = m1.2a2 (2)

    Cancel T in (1) and (2) I have :
    m2g = a2 (4m1 + m2) => a2 = m2g / (4m1 + m2)

    => a1 = 2m2g / (4m1 + m2)
Is my answer correct ? Thank you
 
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Your work looks correct to me.
 
TSny said:
Your work looks correct to me.
Thank you
 

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