A vibrating system has the following parameters: m = 18 kg, K = 70 N / cm, c = 0.8 N.s / cm. Determine: a) The damping factor ξ, b) The frequency of damped oscillation ωD, c) the logarithmic decrease, d) the ratio of two amplitudes any consecutive

A mass of 10kg oscillates at the end of a spring of stiffness, 5N/m. If the damping in the system is such that it gives a damping ratio of 0.45, determine. i) The critical damping. ii) The value of the damping coefficient. iii) The damped natural frequency. iv) The equation for the displacement if the initial velocity is 0.025m/s, and the initial displacement is 0 m.

Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping?  Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant.  Using c=5.0, what is the new period of oscillation.  What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.

5B Material point of mass m moves under the influence of force F-kr=-krî With in other words, the mass m is at the tip of an isotropic harmonic oscillator with equilibrium position at the origin of the axes. c) To qualitatively study the movement of the mass m for all its permissible values of total energy of E and L 0. d) To qualitatively study the movement of the mass m for all its permissible values of total energy of E and L = 0.