^Simple atwood machine

^Simple atwood machine

  1. NSL for blocks is

System m1:  m1g – T = m1a1

System m2:  T – m2g T = m2a2

2. Due to inextensible string we have a1 = a2. On adding the two equations we get

3. Using the value of a in any of the two equations we get

4.  From NSL of system pulley we have 2T2 = T/

Thus pull on ceiling is, T/= = 2T

 

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