$17-82$: $(20$ pts$)$ The lightweight turbine consists of a rotor which is powered from a torque applied at its center. At the instant the rotor ishorizontal it has an angular velocity of $15ra\frac{d}{s}$ and a clockwise angular acceleration of $8ra\frac{d}{s^2}.$ Determine the internal normal force, shear force, and moment at a section through $A.$ Assume the rotor is a $50m$ long slender rod having a mass of $3k\frac{g}{m}.$

Answer: $N_A=177kN,V_A=5\mathrm{.}86kN,M_A=50\mathrm{.}7kN*m$