$A$ uniform rod of mass $8m$ and length $6a$ is placed on a horizontal table. Two point masses $m$ and $2m$ are moving with speeds $2v$ and $v$ respectively,as shown in the figure. They strike the rod and stick to it after the collision. Find the angular velocity of the rod about an axis passing through its center of mass.

  • A
    $\frac{v}{a}$
  • B
    $\frac{v}{5a}$
  • C
    $\frac{2v}{5a}$
  • D
    $\frac{5v}{3a}$

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$A$ particle of mass $= 5 \text{ units}$ is moving with a uniform speed $V = 3 \sqrt{2} \text{ units}$ in the $XOY$ plane along the line $Y = X + 4$. The magnitude of the angular momentum of the particle about the origin is ...... $\text{units}$.

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Define angular momentum.

In orbital motion,the angular momentum vector is directed:

$A$ particle of mass $0.01 \ kg$ has a position vector $\vec{r} = (10\hat{i} + 6\hat{j}) \ m$ and moves with a velocity $\vec{v} = 5\hat{i} \ m/s$. Calculate its angular momentum about the origin in $\hat{k} \ J \cdot s$.

$A$ particle moves along a circular path with decreasing speed. Hence,

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