First slide

General Planar motion

Question

A particle is moving along a line y=x + a with a constant velocity v. Find the angular momentum of the particle about the origin.

Moderate

A

$m v a$
B

$m v a \sqrt{2}$
C

$\frac{m v a}{\sqrt{2}}$
D

$\frac{m v y}{\sqrt{2}}$

Solution

$\begin{array}{l} ∠ P O Q = 45^{\circ} \\ So, O Q = a \cos 45^{\circ} = a / \sqrt{2} \\ L = m v (O Q) = m v a / \sqrt{2} \end{array}$

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