Final answer:
The determination of the vertical pin reaction at point A for a rotating slender bar requires information about the bar's properties and position of point A, which was not provided. Additional data are needed to solve the problem correctly.
Step-by-step explanation:
To determine the vertical pin reaction at point A for a slender bar with a given clockwise angular acceleration (α=5.4 rad/sec²), we need to apply Newton's second law for rotational systems. The equation of motion for such a rotating system is Στ = Iα, where Στ is the net torque, I is the moment of inertia, and α is the angular acceleration. However, to solve this question, we need additional information such as the length of the bar, its mass, and the position of the point A in relation to the bar's center of mass.
Since we are not provided with enough information to solve the problem, there might be missing data from a previous part of a multi-step problem. We can conclude that the vertical pin reaction at point A could be calculated if we knew the full context and figures relevant to the problem.