Final answer:
To find the minimum angular velocity for movement, maximize the torque by increasing the perpendicular distance from the axis of rotation.
Step-by-step explanation:
To find the minimum angular velocity needed for movement, we need to consider the concept of work. If we want to minimize the amount of work required to set a rod rotating at an angular velocity 'w', the rotational axis should be such that the torque applied is maximum. Torque can be calculated using the formula:
T = Fr
where 'T' is the torque, 'F' is the force applied, and 'r' is the distance from the axis of rotation. By increasing the perpendicular distance 'r', we can increase the torque and minimize the work required to set the rod rotating at the desired angular velocity 'w'.