To make Newton’s law of motion applicable in non – inertial frames we have to add

To apply Newton’s second law (laws of motion) in non – inertial frame of reference, A Pseudo force $\left(-{\mathrm{ma}}_0\right)$ must be added to the force.
$\mathrm{F}+\left(-{\mathrm{ma}}_0\right)=\mathrm{ma}$