The apparatus in the diagram consists of a solid cylinder of radius 1 \mathrm{~cm} attached at the center to two disks of radius 2 \mathrm{~cm}. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle \theta=90^{\circ} to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of \theta for which it will not roll to the right when pulling on the thread?
Answer Choices
A. \theta=15^{\circ}
B. \theta=30^{\circ}
C. \theta=45^{\circ}
D. \theta=60^{\circ}
E. None, the apparatus will always roll to the right
