Chapter 9.4, Problem 94AYU

Inclined Ramp A 2-pound weight is attached to a 3-pound weight by a rope that passes over an ideal pulley. The smaller weight hangs vertically, while the larger weight sits on a frictionless inclined ramp with angle $\theta$. The rope exerts a tension force $T$ on both weights along the direction of the rope. Find the angle measure for $\theta$ that is needed to keep the larger weight from sliding down the ramp. Round your answer to the nearest tenth of a degree.