Newtonian mechanics
Newtonian mechanics
Newtonian mechanics
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Problem 11.12<br />
8 OPGAVELØSNINGER 45<br />
Metode: Fysisk pendul, matematisk pendul<br />
Løsning: IA = 1<br />
2<br />
3 l<br />
3 Ml2 , T = 2π<br />
<br />
IA<br />
l/2Mg<br />
= 2π<br />
2l<br />
2. Givet: P, x, M, L, kollisionsapproksimation OK<br />
Ukendt: vCM<br />
Metode: Impulsmomentbevarelse<br />
Løsning: L0 = xP, L1 = IAω ⇔ ω = 3xP<br />
Ml2 , vCM = ωl/2 = 3xP<br />
2Ml<br />
3. Givet: Horisontal reaktionskraft = 0<br />
Ukendt: x<br />
Metode: N2<br />
Løsning: Øhhmmm...<br />
4. Givet: x<br />
Ukendt: cos θ0<br />
Metode: Energibevarelse<br />
Løsning: T = 1<br />
2IAω 2 = 3 x<br />
2<br />
2P 2<br />
Ml2 = Mg l<br />
2 (1 − cos θ0)<br />
1. Givet: R, M, sm˚a oscillationer<br />
Ukendt: Periode T<br />
Metode: Fysisk pendul<br />
Løsning: IA = ICM + M(3R) 2 = ( 2 + 9)MR2<br />
T = 2π<br />
<br />
IA<br />
3RMg<br />
= 2π<br />
2+3. Ukendt: ω(θ), ˙ω<br />
<br />
2<br />
(3+ 15 )R<br />
g<br />
5<br />
3g , TM = 2π l1/g = T ⇔ l1 =
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