(a) In Example 4, how much of the chain would you intuitively expect the constant 5-pound force...

Question:

(a) In Example 4, how much of the chain would you intuitively expect the constant 5-pound force to be able to lift?

(b) What is the initial velocity of the chain?

(c) Why is the time interval corresponding to x(t) « 0 given in Figure 5.3.7 not the interval I of definition of the solution (21)? Determine the interval I. How much chain is actually lifted? Explain any difference between this answer and your prediction in part (a).

(d) Why would you expect x(t) to be a periodic solution?

Figure 5.3.7

8 7 6. 4 3 2 1 0.5 1 1.5 2 2.5