Chapter 4.2, Problem 2dT

Write down Newton’s second law for each spool. Express your answer in terms of the mas of each spool (m), the acceleration of the center of mass of each spool $\left({\stackrel{\to }{a}}_{\text{cm}}\right)$ , and the individual forces acting on each spool.

Write down the rotational analogue to Newton’s second law for each spool. Express your answer in terms of the relevant rotational quantities, that is, in terms of the angular acceleration $\left(\stackrel{\to }{\alpha }\right)$ , the rotational inertia (I), and the torque $\left({\stackrel{\to }{\tau }}_{\text{net}}\right)$ . Express the torque in terms of the individual forces and appropriate distances.