(Solved): A block sits on a circular platform \( 3 \mathrm{~m} \) from the center. The platform is free to ro ...

A block sits on a circular platform \( 3 \mathrm{~m} \) from the center. The platform is free to rotate about its center. It is initially at rest, but begins to spin with an angular acceleration of \( 0.5 \mathrm{rad} / \mathrm{s}^{2} \). If the coefficient of static friction between the block and the rotating platform is \( 0.3 \), determine the following. a. The time until the block begins to slip. b. If the block sits \( 1.5 \mathrm{~m} \) from the center, how long until it begins to slip?