A cart having mass m is attached with spring ki, ką and one damper c shown in Fig. 1. A periodic excitation force F= Fos
Posted: Sun May 15, 2022 10:04 pm
solve it
A cart having mass m is attached with spring ki, ką and one damper c shown in Fig. 1. A periodic excitation force F= Fosin wt is applied to the mass m. Take m=4 kg, ki=1000 N/m, k=2000 N/m, c=0.15xCc, Fo=25 N. a) b) Draw the free body diagram of forces involved in this system. Derive the equation of motion with the value of mass, spring and damper as mentioned above, and determine the critical damping, natural and damped natural frequency Solve the complimentary solution of the equation of motion to determine the free vibration response of the system, and discuss from the solution why the response dies out after a certain time in the damped system. c) a F ki llllllll k2 k2 hellbello C mi leee Fig. 1
A cart having mass m is attached with spring ki, ką and one damper c shown in Fig. 1. A periodic excitation force F= Fosin wt is applied to the mass m. Take m=4 kg, ki=1000 N/m, k=2000 N/m, c=0.15xCc, Fo=25 N. a) b) Draw the free body diagram of forces involved in this system. Derive the equation of motion with the value of mass, spring and damper as mentioned above, and determine the critical damping, natural and damped natural frequency Solve the complimentary solution of the equation of motion to determine the free vibration response of the system, and discuss from the solution why the response dies out after a certain time in the damped system. c) a F ki llllllll k2 k2 hellbello C mi leee Fig. 1