A uniform rod of mass m has very tiny lead balls, each of mass m, welded to each end. If the rod hangs in empty space, and a force F is applied to the rod, consider three cases: A) The force is applied to the upper lead ball; B) The force is applied halfway between the upper lead ball and the center of mass of the system; C) The force is applied at the center of mass of the system.

F, is the only net force that is acting on the System. Hence, the acceleration of the center of mass (a point in an object where a force can be applied to cause a linear acceleration without leading to an angular acceleration)is the same in each of the cases highlighted.The torque(the rotational equivalent of a linear force) depends on where the force acts.

Lanuel Lanuel · Answer 2 · 2022-03-29T15:09:21+02:00

The center-of-mass acceleration of the system will be the same in all three cases.

What is a center-of-mass?

A center-of-mass can be defined as a central point in a physical object or body where a force of magnitude (F) can be applied to it to cause a linear acceleration, without causing an angular (rotational) acceleration.

For this system, force of magnitude (F) is the only net force that is acting on it. Thus, the center-of-mass acceleration of this system would be the same in all three cases because there are no torque.

Read more on torque here: https://brainly.com/question/14839816