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1. For the systems shown in Figures 1 to 3, a mass m falls ... - ITLiMS

1. For the systems shown in Figures 1 to 3, a mass m falls ... - ITLiMS

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6. A measurement system has a steel dial of length l = 50<br />

mm, width b = 3 mm, and thickness τ = 1mm. The<br />

res<strong>to</strong>r<strong>in</strong>g spr<strong>in</strong>g has a rotational spr<strong>in</strong>g constant K = 10<br />

Nmm/rad. At a radius r =10mm, <strong>the</strong>re is a dashpot. Design<br />

<strong>the</strong> dashpot for <strong>the</strong> follow<strong>in</strong>g requirement: a time <strong>to</strong> halt is<br />

equal four periods of natural oscillations, ie.T1/2 = 4T, T =<br />

2π/ω0<br />

7. A periodic vertical force P(t) = P0s<strong>in</strong>ωt as <strong>shown</strong> <strong>in</strong> Fig. is<br />

applied <strong>to</strong> <strong>the</strong> spr<strong>in</strong>g – dashpot - <strong>mass</strong> system. Equivalent<br />

spr<strong>in</strong>g constant is k, <strong>mass</strong> of a body m, and equivalent damp<strong>in</strong>g<br />

coefficient c = 0,2 ckr. Determ<strong>in</strong>e <strong>the</strong> amplitude of <strong>the</strong> force<br />

act<strong>in</strong>g on <strong>the</strong> base.<br />

r<br />

K<br />

m<br />

P os<strong>in</strong>ωt<br />

x

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