3. The motion of a mass-spring system with damping is governed by y"(t) +by' (1) + 16y(t) = 0; y(0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 6, 8, and 10.
3. The motion of a mass-spring system with damping is governed by y"(t) +by' (1) + 16y(t) = 0; y(0) = 1, y'(0) = 0. Find the equation of motion and sketch its graph for b = 0, 6, 8, and 10.
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In the case b =6, find the physical form of the solution, the damping factor, envelope curves and quasiperiod.
Sketch the graph for b=6, 8 and 10.
Transcribed Image Text:3. The motion of a mass-spring system with damping is
governed by
y"(t) + by' (t) + 16y(t) = 0;
y (0) = 1,
y'(0) = 0.
Find the equation of motion and sketch its graph for
b = 0, 6, 8, and 10.
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