(Solved): The mass of the ball is \( m=20 \mathrm{~kg} \) and the length of the light rod is \( I=0.52 \math ...

The mass of the ball is \( m=20 \mathrm{~kg} \) and the length of the light rod is \( I=0.52 \mathrm{~m} \). 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 \( a_{0}=5.4 \mathrm{~m} / \mathrm{s}^{2} \). Write an expression for the tension \( T \) in the rod as a function of \( \theta \) and calculate \( T \) for the position \( \theta=\pi / 2 \). Answers: \( T= \)