Answer
$a = 0.86m/s{^2} i - 0.1625m/s{^2} j$
Work Step by Step
From given data
F2 = 55 N i
F1 =32cos 30 i + 32 sin 30 j
F1 = 27.71 N i + 16 J
And
F3 = 41cos60 i - 41 sin60 j
F3 = 20.5 i -35.5 j N
Fnet = F1 + F2 + F3
Fnet = 103.21 i -19.5 j N
Fnet = ma
So
a = Fnet /m
$a = 0.86m/s{^2} i - 0.1625m/s{^2} j$