The 52-lb cart is acted upon by the harmonic force shown in the figure. If c = 0
ID: 1828347 • Letter: T
Question
The 52-lb cart is acted upon by the harmonic force shown in the figure. If c = 0, determine the range of the driving frequency ? for which the magnitude of the steady-state response is less than 3.2 in.
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The 52-lb cart is acted upon by the harmonic force shown in the figure. If c = 0, determine the range of the driving frequency ? for which the magnitude of the steady-state response is less than 3.2 in.
Explanation / Answer
F-kx = Ma
therefore , 6cos(wt) = (53/12)*x + 52*d2x/dt2
let x = Acos(wt)
=>substituing we get , 6 = A(53/12)-52Aw^2
A=6/(4.4167-52w^2) <3.2
therefore w<0.2rad/sec
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