Known values Mass of Sun: 1.99×103º kg; Mass of Earth: 5.98 ×10²4 kg; Mass of Moon: 7.36×10? kg; Earth-Sun distance = 1.50×10' m; Mars-Sun distance = 2.48 × 10" m; Earth-Moon distance = 3.82 ×10° m; Radi of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motio %3D %3D %3D function: x(t) = xge" e-t/2" cos(w't + q); t = ";a' = wo ]1 – (,); w, =, %3D 2mwo' m Question 2 In designing different structures like buildings, bridges etc., how should the natural frequencies of ocillation of a structure associated to seismic frequencies? For safety, should the structure have a a.

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Chapter9: Momentum And Its Conservation
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Known values
Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36× 10²² kg;
Earth-Sun distance = 1.50×10'" m; Mars-Sun distance = 2.48 × 10" m; Earth-Moon distance = 3.82 ×10° m; Radius
of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motion
b
)2; wo =.
2mwo'
m
function: x(t) = x,e-t/2r cos(w't + ø); =!
= Wo 1 –
%3D
m
Question 2
In designing different structures like buildings, bridges etc., how should the natural frequencies of
oscillation of a structure associated to seismic frequencies? For safety, should the structure have a
large or small amount of damping? Please explain reasonably.
а.
Transcribed Image Text:Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36× 10²² kg; Earth-Sun distance = 1.50×10'" m; Mars-Sun distance = 2.48 × 10" m; Earth-Moon distance = 3.82 ×10° m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motion b )2; wo =. 2mwo' m function: x(t) = x,e-t/2r cos(w't + ø); =! = Wo 1 – %3D m Question 2 In designing different structures like buildings, bridges etc., how should the natural frequencies of oscillation of a structure associated to seismic frequencies? For safety, should the structure have a large or small amount of damping? Please explain reasonably. а.
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