A spring-mass-damper system oscillating about the horizontal surface is subjected to an external force of F = 460sin3.6t, where 460 is in Newtons and 3.6 is in radians per second. The system has a mass 144 kg, a damping coefficient of 124 N.s/m and a spring constant of 216 N⁄m. The system is both given an initial displacement of 1.44 m and an initial velocity of 1.24m⁄s.
a. Using Method of Undetermined Coefficients, determine the particular solution for the displacement function.
b. Determine the unknown coefficients for the homogeneous solution using the initial conditions (Note: the external force already works at t = 0).
c. Determine the position, velocity and acceleration of the system after 10 seconds.
A spring-mass-damper system oscillating about the horizontal surface is subjected to an external force of F = 460sin3.6t
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