A force is acting at a point . The value of &alpha; for which angular momentum about origin is conserved is: Option 1) 2 Option 2) zero Option 3) 1 Option 4) -1

Torque -

$\underset{\tau }{\rightarrow}= \underset{r}{\rightarrow}\times \underset{F}{\rightarrow}$

- wherein

This can be calculated by using either  $\tau=r_{1}F\; or\; \tau=r\cdot F_{1}$

$r_{1}$ = perpendicular distance from origin to the line of force.

$F_{1}$ = component of force perpendicular to line joining force.

L= $r^{\rightarrow }\times p^{\rightarrow } = \ constant$

$\begin{vmatrix} 2, -6, -12 \end {vmatrix}$

Option 1)

2

This option is incorrect.

Option 2)

zero

This option is incorrect.

Option 3)

1

This option is correct.

Option 4)

-1

This option is incorrect.

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