Obtain the expression for linear acceleration for a particle performing non-ucm

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Solution

$\to v = \to ω \times \to r$

$\frac{\to d v}{d t} = \frac{\to d ω}{d t} \times \to r + \to ω \times \frac{\to d r}{d t}$

$\frac{\to d ω}{d t} = \to α$

$\frac{d r}{d t} = \to v$

$\frac{\to d v}{d t} = \to a$

$\to a = \to α \times \to r + \to ω \times \to v$

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