Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_72

6/72 The system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. Determine the angular acceleration of the cylinder and the minimum coefficient \(\mu_s\) of friction for which the cylinder will not slip. Given values: - Mass of the cylinder, \(m_c = 7 \text{ kg}\) - Radius of the cylinder, \(r = 0.15 \text{ m}\) - Mass of the hanging weight, \(m_w = 10 \text{ kg}\) - Incline angle, \(\theta = 20^\circ\) - Acceleration due to gravity, \(g = 9.81 \text{ m/s}^2\)