(Solved): Consider a homogeneous beam with its neutral axis on the x-axis, as shown in the accompanyi ...

Consider a homogeneous beam with its neutral axis on the $x$-axis, as shown in the accompanying figure. Assume that the beam is subjected to a two-dimensional force system (not shown in the figure). When the beam is sectioned at the cross-section $C$, which is $xm$ to the right of $O$, the origin of the system of axes, the two remaining parts of the beam are shown below. The bending moment at $x$ is denoted by $M(x)$. Answer the following questions: Answer the following questions: a) If $M(x)<0$, then the couple moment that develops at $C_r$ is clockwise. is anticlockwise. can be clockwise or anticlockwise. b) Choose the option that describes the graph of the bending moment $M$ against $x$ in general the best. The graph may be discontinuous. The graph must be disontinuous.