A $4$m simple beam is loaded with a downward vertical load of $500$N at a point $1$m from the left support and a counter$-$clockwise moment of $100$N$-$m at a point $1$m from the right support.

a$)$ Calculate the deviation of the right support relative to the tangent drawn from the left support. Use Area Moment Method.

b$)$Calculate the deflection at the point of application of the $100$N$-$m moment. Use Area Moment Method.