(Solved): Two objects are attached to ropes that are attached to wheels on a common axle as shown in the figu ...

Two objects are attached to ropes that are attached to wheels on a common axle as shown in the figure below. The total moment of inertia of the two wheels is \( 25 \mathrm{~kg} \cdot \mathrm{m}^{2} \). The radii of the wheels are \( R_{\text {big }}=2.00 \mathrm{~m} \) and \( R_{\text {small }}=0.80 \mathrm{~m} \) Don't forget to draw your FBDs. a) If \( m_{1}=26.0 \mathrm{~kg} \), find \( m_{2} \) such that there is no angular acceleration of the wheels. b) If \( 13.0 \mathrm{~kg} \) is gently added to the top of \( m_{1} \), find the angular acceleration of the wheels. c) Find the tension \( T_{1} \) when the system is accelerating? d) Find the tension \( T_{2} \) when the system is accelerating?