Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis

Two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below).

The smaller flywheel of radius R₁ has a cord that has a pulling force F₁ on it.
What pulling force F₂ needs to be applied to the cord connecting the larger flywheel of radius R₂ such that the combination does not rotate? 

Input your answer in N using 3 significant figures. 

Hint: