Dimensions:

Problem Statement:

All interfaces in the frame shown are assumed to be frictionless. The axis of the hinge at $\backslash ($ A $\backslash )$ is aligned with the $\backslash ($ y $\backslash )$ axis, and the linear bearing at $\backslash ($ D $\backslash )$ is constrained to slide on the rod shown, which is fixed, and aligned with the $\backslash ($ x $\backslash )$ axis. This linear bearing is free to rotate about the rod. Joints $\backslash ($ B$,$ C $\backslash )$ and $\backslash ($ E $\backslash )$ are ball joints, and joint $\backslash ($ E $\backslash )$ lies in the $\backslash (\backslash$mathrm$\{$x$\}-\backslash$mathrm$\{$y$\}\backslash )$ plane. A force of $\backslash (\backslash$mathrm$\{$F$\}=775\backslash$mathrm$\{$~N$\}\backslash )$ is applied to member BEC at a point exactly halfway between points B and C $.$ Find the following: