Pulley and Blocks: Is My Answer Correct?

[hquang001]

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

• 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

 

[TSny]

Your work looks correct to me.

 

[hquang001]

Your work looks correct to me.

Thank you