Question

The relative separation ϕ(x, t) tells us, at time t, “the distance, relative to x, of the mass
that is at equilibrium at x.” For a continuous spring system extending from x = 0 to L, suppose you
were given ϕ(x, 0) = 0, describe the configuration of masses. Describe the system if ϕ(x, 0) = α
for positive, constant α. If ϕ(x, 0) = x/2, where, relative to x = 0, is the mass that is at equilibrium
at 1/4 m? (the m here stands for “meter”).

Answer 1

Answer:

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In the spring–mass system shown in its unstrained position in Fig. 15.27(a) the potential energy of the mass, m, is defined as the product of its weight and its height, h, above some arbitrary fixed datum. In other words, it possesses energy by virtue of its position.

Step-by-step explanation:

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