physics

Physics: maximum force that can be applied to move an object?
What is the maximum force F which can be exerted?
Given: The friction between the block with
mass 14 kg and the wedge with mass 16 kg
is 0.19 . The surface between the wedge with
mass 16 kg and the horizontal plane is smooth
(without friction).
The acceleration of gravity is 9.8 m/s2 .
A block is released on the inclined plane 21 degrees with the horizontal
(top side of the wedge).
What is the maximum force F which can
be exerted on the 16 kg block in order that
the 14 kg block does not move up the plane?
Answer in units of N.

This is what I did:
Vertical force - weight parallel - friction = 0

Fsin21 - 14*9.8 sin21 - 0.19(14*9.8 cos21) = 0
Fsin21 - 137.2 sin21 - 0.19(137.2 cos21) = 0
0.3584F - 49.1681 - 24.3366 = 0
0.3584F = 73.5047
F = 205.09 N

I typed in this answer and it was incorrect. Did I do something wrong in the computation process?

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