Answer :
Final answer:
The 15-kg uniform slender rod is suspended at rest when the force of F = 145 N is applied to its end. The force is always perpendicular to the rod, the given statement is b) false because when a perpendicular force is applied to a uniform slender rod, it causes torque, resulting in rotational motion.
Explanation:
In this scenario, the force applied to the end of the rod is perpendicular to the rod. When a perpendicular force is applied to a uniform slender rod, it causes torque, which results in rotational motion. Torque is the product of the force and the lever arm, which is the perpendicular distance between the force and the axis of rotation.
Since the force is perpendicular to the rod, the lever arm is equal to the length of the rod. Therefore, the torque applied to the rod is equal to the force multiplied by the length of the rod. This torque causes the rod to rotate about its pivot point.
In order for the rod to be suspended at rest, the torque applied by the force must be balanced by an equal and opposite torque. This can be achieved if there is an additional force applied to the rod, such as a support force or a counterweight, that creates an equal but opposite torque.
Therefore, when only a single perpendicular force of 145 N is applied to the end of the rod, the rod will not be suspended at rest, and the statement is false.
The given statement is b) false the given statement is b) false
