An undamped single-degree-of-freedom system consists of a mass \(5 \mathrm{~kg}\) and a spring of stiffness \(2000 \mathrm{~N} / \mathrm{m}\). Find the response of the system using Eq. (2.21) when the mass is subjected to the following initial conditions:

a. \(x_{0}=20 \mathrm{~mm}, \dot{x}_{0}=200 \mathrm{~mm} / \mathrm{s}\)

b. \(x_{0}=-20 \mathrm{~mm}, \dot{x}_{0}=200 \mathrm{~mm} / \mathrm{s}\)

c. \(x_{0}=20 \mathrm{~mm}, \dot{x}_{0}=-200 \mathrm{~mm} / \mathrm{s}\)

d. \(x_{0}=-20 \mathrm{~mm}, \dot{x}_{0}=-200 \mathrm{~mm} / \mathrm{s}\)

Equation 2.21:-

Transcribed Image Text:

x(t) = A cos (@nt - ) (2.21)