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The maximum velocity of a point undergoing simultaneous two oscillations given by $x_{1} = a \cos w t and x_{2} = a \cos 2 w t is:$

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2.74aw

1.414aw

2aw

answer is A.

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Detailed Solution

$\begin{array}{l} x = a \cos w t + a \cos 2 w t \\ v = \frac{d x}{d t} For v_{max}; \frac{d v}{d t} = 0 \\ \Rightarrow \cos w t = 0.64 ∴ v_{max} = 2.74 a w \end{array}$

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