Solved: A uniform 10-foot-long heavy rope is coiled loosely on the ground. As shown in

Chapter 1, Problem 43

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A uniform 10-foot-long heavy rope is coiled loosely on the ground. As shown in FIGURE 1.R.2 one end of the rope is pulled vertically upward by means of a constant force of 5 lb. The rope weighs 1 lb/ft. Use Newton’s second law in the form given in (17) in Exercises 1.3 to determine a differential equation for the height x(t) of the end above ground level at time t. Assume that the positive direction is upward.

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