(Solved): (20\%) Problem 2: Two connected flywheels are free to rotate about an axle through their mutual ce ...

(20\%) Problem 2: Two connected flywheels are free to rotate about an axle through their mutual center. They are at rest, and they remain at rest. One flywheel has a radius \( r_{1}=0.45 \mathrm{~m} \), and a rope wound around it has tension \( F_{1} \). The other flywheel has a radius \( r_{2}=0.34 \mathrm{~m} \), and the rope wound around it has a tension of \( F_{2}=57.8 \mathrm{~N} \). \( \triangleright \) A \( 50 \% \) Part (a) Write an expression for tension \( F_{1} \) in terms of the symbols introduced in the pr \[ F_{1}= \] Hints: deduction per hint. Hints remaining: 1 Feedback: