APPM 2360 Midterm: appm2360spring2015exam3
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On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. Without solving, write down the form of the particular solution. Problem 2: (30 points) suppose a block of mass m = 1 is attached to a spring with spring constant k. the block slides on a surface with frictional constant b = 4. Assume the equilibrium position of the block is at x = 0. Nd the position of the block x(t) as a function of t using the initial conditions x(0) = 2 and x(0) = 1. Evaluate the position at t = 5. (d) (8 points) now consider polishing the surface on which the block slides so that we can take the friction constant b = 0. Consider an external force f (t) = cos(t) which acts on the block.
