Consider a bar 30 cm long that is made of a material for
Chapter 10, Problem 14(choose chapter or problem)
Consider a bar 30 cm long that is made of a material for which 2 = 1 and whose ends areinsulated. Suppose that the initial temperature is zero except for the interval 5 < x < 10,where the initial temperature is 25C.(a) Find the temperature u(x, t).(b) Plot u versus x for several values of t. Also plot u versus t for several values of x.(c) Plot u(4, t) and u(11, t) versus t. Observe that the points x = 4 and x = 11 are symmetricallylocated with respect to the initial temperature pulse, yet their temperature plotsare significantly different. Explain physically why this is so.
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