A couple changes the support share

A uniform 2 m horizontal beam weighs 60 N and rests on simple supports at both ends. A further downward load of 20 N acts 0.50 m from the left end. An applied counterclockwise couple has magnitude 10 N·m.

What is the upward reaction at the right support?

Organize the givens & assumptions

Beam weight: 60 N at midpoint
Extra load: 20 N at x=0.50 m
Counterclockwise couple: 10 N·m

Static equilibrium in a vertical plane; supports exert upward forces only; the couple adds torque but no net force.

A $35\ \mathrm N$
B $30\ \mathrm N$
C $40\ \mathrm N$
D $50\ \mathrm N$

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