Rigid body equilibrium question

[dbag123]

Homework Statement

Calculate the reactions Ax, Ay and By

Relevant Equations

Ma=0
Mb=0

Problem in the picture.

I have a question regarding the problem in the picture.
Ma=0 -2Kn*1a+By*4a=0 --> By=0,5kN
Mb=0 2kN*3a-Ay*4a=0 --> Ay = 1,5kN
Ax=0kN
Ay is the pin support and By is the roller support.
According to the solution By should be 1kN but isn't that the wrong answer?
2kN has only a vertical component and the distance to point a in the first equation is 1a, after all the distance is perpendicular to line of action of the force, so how would the answer be 1kN for By? Thanks

 

[haruspex]

isn't that the wrong answer?

I agree with your answer.