Laws of Motion Part 1

Assume that, mass m1 is greater than mass m2, so the heavier mass m1 is accelerating downward and the lighter mass m2 is accelerating upwards.
For mass m1 the equation will be
m1g−T=m1a
For mass m2 the equation will be
T−m2g=m2a
Adding those equations we get
a=‌

(m1−m2)g

m1+m2

∴‌

g

8

=‌

(m1−m2)g

m1+m2

⟹‌

1

8

=‌

‌ m1 m2 −1

m1 m2 +1

⇒‌

m1

m2

+1=8(‌

m1

m2

−1)
⇒‌

m1

m2

=‌

9

7