(Solved): A glider of mass \( m_{1} \) on a frictionless horizontal track is connected to an object of mass ...

A glider of mass \( m_{1} \) on a frictionless horizontal track is connected to an object of mass \( m_{2} \) by a massless string. The glider accelerates to the right, the object accelerates downward, and the string rotates a pulley of moment of inertia I and radius R. What is the relationship among \( T_{1} \) (the tension in the horizontal part of the string), \( T_{2} \) (the tension in the vertical part of the string), and the weight \( m_{2} g \) of the object? \[ \begin{array}{l} m_{2} g=T_{2}>T_{1} \\ m_{2} g>T_{2}>T_{1} \\ m_{2} g=T_{1}=T_{2} \\ m_{2} g>T_{2}=T_{1} \\ m_{2} g>T_{1}>T_{2} \end{array} \]