Problem $2$: The cylindrical rod below is pinned at point $O$ and a force $(F)$ is applied to point $A.$ Complete the tasks below.

$W_G=1200kN,F=950kN,I=640kg-m^2$ about point $O,L=6ma=r,M=I$

a$)(2$ points$)$ Draw a free body diagram $($with a coordinate system$)$ for the beam. Draw an arrow on the diagram for the direction of linear acceleration at point G$.$

b$)(2$ points$)$ Determine the angular acceleration of rod OA

c$)(1$ point$)$ Determine the linear acceleration of the rod at point G $.$

Note:the rod begins at rest