Write all forces by their axes along which the acceleration is directed according to Newton's second law:
Block: m2a=m2g sinθ−T,Ball: m1a=T−m1g. Divide one by another:
m1m2=T−m1gm2g sinθ−T, T=g⋅m1+m2m1m2(1+sinθ). Acceleration, on the other hand, will be
a=m1T−g, a=g[m1+m2m2(1+sinθ)−1], a=g⋅m1+m2m2 sinθ−m1.
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