A 5-kg collar A is at rest on top of, but not attached to,

Chapter 13, Problem 13.31

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A 5-kg collar A is at rest on top of, but not attached to, a spring with stiffness \(k_{1} = 400 \ N/m\) when a constant 150-N force is applied to the cable. Knowing A has a speed of 1 m/s when the upper spring is compressed 75 mm, determine the spring stiffness \(k_{2}\). Ignore friction and the mass of the pulley.

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