^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