A rod initially at rest as shown in the figure rotates freely around a pivot such that frictional forces are considered to be negligible. The rod is divided equally into four sections, with the length of each segment equal to . A downward force is applied in the position and direction shown. A student must apply a force to the rod so that the rod remains in equilibrium. To satisfy the condition, what magnitude of force can be exerted on the rod and at what distance away can be applied? Select two answers