Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_126

6/126 The sliding block is given a horizontal acceleration to the right which is slowly increased to a steady value \( a \). The attached pendulum of mass \( m \) and mass center \( G \) assumes a steady angular deflection \( \theta \). The torsion spring at \( O \) exerts a moment \( M = k_T \theta \) on the pendulum to oppose the angular deflection. Determine the torsional stiffness \( k_T \) which will allow a steady deflection \( \theta \).