Major floor loadings in a shop are caused by the weights of the objects shown. Each force acts through its respective center of gravity G. Locate the center of gravity (x, y) of all these components. z y G2 G G4 3 G1 x 600 lb 9 ft 7 ft 12 ft 6 ft 8 ft 4 ft 3 ft 5 ft 1500 lb 450 lb 280 lb Prob. 987

Notes Taken for EMT on March 28, 2016 First Order System with a Harmonic input Recall, for a step input, we had F(t) = 0 @ t = 0 A F(t) = a 0 @ t > 0 For a Harmonic Input to the 1 order system, we have F(t) = 0 @ t =0 A F(t) = sin(ωt ) for t > 0 a 0 amplitude frequency The solution for harmonic input is A −t x(f) = a0 −1 τ 2 sin[ωt−tan ωt )]+Ce √ 1+(ωt) a 1 again, τ = a0 The Phase Shift is defined as −1 Φ(ω) = tan (ωt) (ϕ is in radians) ϕ(ω) The steady state response lags by time delay ωt = & ω is the frequency of the si