Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_115

3/115 Determine the unstretched spring length which would cause the 3-lb collar of the previous problem to have no speed as it arrives at position B. All other conditions of the previous problem remain the same. From Problem 3/114: The 3-lb collar is released from rest at A and slides freely down the inclined rod. The spring constant is \( k = 4 \text{ lb/ft} \). The geometry is given as: Vertical distance from spring pivot \( O \) to initial position \( A \) level: \( 40 \text{ in.} \) Vertical distance from position \( A \) level to final position \( B \) level: \( 20 \text{ in.} \) Horizontal distance from vertical line through \( O \) and \( A \) to point \( B \): \( 36 \text{ in.} \)