First slide

Angular momentum

Question

A particle of mass m = 5 units is moving with a uniform speed $ν = 3 \sqrt{2}$ units in the XY-plane along the line y = x + 4. The magnitude of the angular momentum about origin is

Moderate

A

zero
B

60 units
C

7.5 units
D

40 $\sqrt{2}$ units

Solution

From the figure, $r_{1} = 4 \sin 45 ° = 2 \sqrt{2} units$
The magnitude of the angular momentum,
$L = m v r_{⊥} = 5 (3 \sqrt{2}) (2 \sqrt{2}) = 60 units$

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