Find the variation of the displacement with time, (x(t)), of a damped single-degree-of-freedom system with (zeta=0.1) for
Question:
Find the variation of the displacement with time, \(x(t)\), of a damped single-degree-of-freedom system with \(\zeta=0.1\) for the following initial conditions:
a. \(x(t=0)=x_{0}=0.2 \mathrm{~m}, \dot{x}_{0}=0\)
b. \(x(t=0)=x_{0}=-0.2 \mathrm{~m}, \dot{x}_{0}=0\)
c. \(x_{0}=0, \dot{x}_{0}=0.2 \mathrm{~m} / \mathrm{s}\)
d. Plot the variations of displacement found in parts (a), (b), and
(c) on the same graph in the range of 0 to \(5 \mathrm{~s}\).
Step by Step Answer:
Related Book For
Question Posted: