A horizontal uniform beam of length 6L6L6L and weight WWW is supported at both ends. An object weighing 3W3W3W is placed on the beam at a distance of 2L2L2L from the right end, as shown in the diagram below.
What are the magnitudes of the normal reactions N1N_1N1 and N2N_2N2 on the supports at the ends of the beam?