A force $(2\mathrm{.}003\mathrm{.}00)$ N acts on a particle at position $(3\mathrm{.}001\mathrm{.}00$g$)$ m$.($a$)$ Calculate the torque gen erated by the force on the particle about the origin. $($b$)$ Is there a pivot about which this same force generates a torque on the particle that has half the magnitude and the opposite direction of the one in $($n$)?$ Is there another such pivot? How many are there? Where are they? $($c$)$ How many of these lie on the y$-$axis? $($d$)$ Find one such pivot on the y$-$axis.