Consider a horizontal, uniform beam that extends from x = 0 m to x = 3.1 m. The beam is supported at each end by two strings which exert forces directly upward. There is a downward force per length on the beam given by dF/dx = 233 x (3.1 - x) (N/m), which includes any weight force on the beam. Calculate the tension in the rope attached to the right end of the beam.

Fig: 1