Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_256

3/256 Consider the system of Prob. 3/255 where the mass of the ball is $m = 10\text{ kg}$ and the length of the light rod is $l = 0.8\text{ m}$. The ball–rod assembly is free to rotate about a vertical axis through $O$. The carriage, rod, and ball are initially at rest with $\theta = 0$ when the carriage is given a constant acceleration $a_O = 3\text{ m/s}^2$. Write an expression for the tension $T$ in the rod as a function of $\theta$ and calculate $T$ for the position $\theta = \pi/2$.