) In Figure Q1, the 25 kg mass (m) is suspended by a combination of springs, where kı=5 kN/m, k2=5 kN/m, k3=10 kN/m and
Posted: Wed Apr 27, 2022 7:36 pm
) In Figure Q1, the 25 kg mass (m) is suspended by a combination of springs, where kı=5 kN/m, k2=5 kN/m, k3=10 kN/m and k4=10 kN/m. The mass is displaced 30mm below the static equilibrium position and released from rest, determine: (i) The equivalent stiffness of the four springs. (ii) The undamped frequency of the equivalent system. (iii) The equation that governs the vertical displacement of the mass as a function of time. (iv) The maximum acceleration of the mass in mm/s2. (v) The location of the mass in mm at time, t = 2 s. que k1 k2 <3 조 k4 Static equilibrium position m Figure Q1 ) A vibrating system with viscous damping has mass 15 kg, spring stiffness 10 kN/m and damping coefficient 50 Ns/m. Determine: (i) The logarithmic decrement; (ii) The ratio of any two consecutive amplitudes.