Chapter 10.2, Problem 10.2TYU

The figure shows a glider of mass m₁ that can slide without friction on a horizontal air track. It is attached to an object of mass m₂ by a massless string. The pulley has radius R and moment of inertia I about its axis of rotation. When released, the hanging object accelerates downward, the glider accelerates to the right, and the string turns the pulley without slipping or stretching. Rank the magnitudes of the following forces that act during the motion, in order from largest to smallest magnitude. (i) The tension force (magnitude T₁) in the horizontal part of the string; (ii) the tension force (magnitude T₂) in the vertical part of the string; (iii) the weight m₂g of the hanging object.