First slide

Angular momentum

Question

A particle of mass 5g is moving with a uniform speed of $3 \sqrt{2}$ cm/sec in the x-y plane along the line y=x+4. The magnitude of its angular momentum about the origin in $g m c m^{2} / s$ is

Easy

A

Zero
B

30
C

$3 \sqrt{2}$
D

60

Solution

$\begin{array}{l} L = m V \cos θ \times y (y i s t h e y i n t e r c e p t f o r t h e g i v e n s t r a i g h t l i n e) \\ = 5 \times 3 \sqrt{2} . \frac{1}{\sqrt{2}} \times 4 = 60 \end{array}$

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