Correct amswer
OptionC
Damping factor is a constant it does not have any units.
So option C is correct answer
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For a forced vibratory system, the following values are given: m=3 kg, k=50 N/m, c=10 Ns/m,...
For a spring: Initial values: initial displacement, x0 = 3 m initial velocity, v0 = 0 m/s mass, m = 100 kg spring constant, k = 100 kg/s^2 Damping Force, Fr = a*v where a is the damping factor At t = 20 s, the amplitude of the oscillation is decreased to 1/2 of the initial Find the frequency, v1 and the damping factor, a
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2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
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Consider the forced vibration in Figure 1. We mass, m Figure 1: Forced Vibration 1. Use a free-body diagram and apply Newton's 2nd Law to show that the upward displacement of the mass, r(t), can be modelled with the ODE da da mdt2 + cat + kz = F(t) where k is the spring coefficient and c is the damping coefficient. = 2 kg, c = For the remainder of the questions, use the following values: m 8 Ns/m, k...