A stick and a small box each of mass m are at rest on the fl

A stick and a small box, each of mass m, are at rest on the floor. The stick has a cord attached to one end; the box has a cord attached in the middle. Someone gives each cord a brief tug and manages to pull with the same tension, so that the force by the cord on the stick is the same as the force by the cord on the box. The force is pretty strong, so friction with the floor is negligible. Compare the acceleration of the stick, a_s (measuring from the center of mass, which is the center of the stick), with the acceleration of the box a_B. (a) a_s > ab, because the stick undergoes both rotational and translational motion (b) a_s > ab, because the stick has a higher moment of inertia. (c) a_s

Solution

1.There is no concept of moment of inertia comes since there is no angular motion.hence option (d) (i.e a_s =a_b, because they both experience the same net force) is correct.

2.The same anount of work done in each case (because equal force for equal mass for both cases leads to same distance) act through the same distance.Hence option (b) is correct.