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Angular Velocity

Two particles...

Question

Two particles A and B are moving as shown in the figure. Their total angular momentum about the point O is:

9.8 k g m^{2} / s

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zero

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52.7 k g m^{2} / s

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37.9 k g m^{2} / s

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Solution

The correct option is D $9.8 k g m^{2} / s$
Total angular momentum about O is given as,

$L = L_{1} + L_{2} = m_{1} v_{1} r_{1} + m_{2} v_{2} r_{2}$
$= - 6.5 \times 2.2 \times 1.5 + 3.1 \times 3.6 \times 2.8$
(Considering anticlockwise direction as negative angular momentum)
$= - 21.45 + 31.248 = 9.8 k g m^{2} / s$

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