Motion of Connected Block Over a Pulley

Equation for m₁: T₁ -m₁g= m₁a………..(1)eqⁿ

Equation for m₁:  m₂g-T₁ = m₂a…………..(2)eqⁿ

T₂=T₁ +T₁

Solving 1^st an 2^nd equation

We get