L6 Two Dimensional Kinematics


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⚿ Projectile Motion 抛运动Pāo yùndòng

⚿ Pure Circular Motion (vr=0)

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Quantities

Key Relationships

$$ \omega (t) = { { d \, \theta (t) } \over { d \, t} } $$ $$ \alpha (t) = { { d \, \omega (t) } \over { d \, t} } $$
$$ \omega (t) = \int { \alpha (t) \, dt } $$ $$ \theta (t) = \int { \omega (t) \, dt } $$

Linear ↔ Rotational Quantities

s(t) = r θ(t)vt(t) = ω(t) r
ar = vt 2 / r at = α r

Special case of α(t) = 0

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