(Solved): Figure 1: A disk of radius R1, Wass m1, and mass moment of inertin I1 rolls without slip o ...

Figure 1: A disk of radius $R_1$, Wass $m_1$, and mass moment of inertin $I_1$ rolls without slip on a box of mass $m_2$ that slides along a frictionless surface. A force $f(t)$ is applied to the box and the coordinates $x_1,{?}_1$, and $x_2$ measure motion of the disk and box from a state in which $x_1=0,{?}_1=0,x_2=0$, and $f=0$. Use this figure for Problem 1 . 1. (Lecture 6: Mechanical Systems 1 and Lecture 7: Mechanical Systems 2) Derive the equations of motion for the system in Figure 1 in terms of the coordinates $x_1$ and $x_2$. Assume the disk remains on top of the box.