A spring-mass-damper system oscillating about the horizontal surface is subjected to an external force of F = 460sin3.6t
Posted: Wed Mar 30, 2022 9:09 am
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. 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.