show that angular momentum is magnitude is given by:
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Answer:
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Explanation:
text
L = r × p
L = r × mv
L = mr × (ω × r)
L = mω(r · r) − mr(r · ω)
L = mr2ω − 0
L = mr2ω
L = Iω
Moment of inertia again
I = ∑r2m = ⌠
⌡ r2 dm = ρ ⌠
⌡ r2 dV
Conservation of angular momentum
∑τ = d L = 0
dt
Thus
L = constant
Translational and rotational quantities compared
concept translation connection rotation
momentum p =
mv L = r × p = mr × v L = Iω
impulse-momentum ∫ F · dt
F =
= ∆p
dp/dt
∫ τ · dt
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Answer:
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