No, the amplitude of simple harmonic motion (SHM) does not change under a constant force. In SHM, the amplitude refers to the maximum displacement of an object from its equilibrium position. It represents the distance between the equilibrium position and the extreme points of the motion.
In SHM, the force acting on the object is proportional to the displacement but in the opposite direction, according to Hooke's Law. Mathematically, F = -kx, where F is the force, k is the spring constant, and x is the displacement from the equilibrium position.
The motion of an object undergoing SHM is determined by the mass of the object, the force acting on it, and the initial conditions. The amplitude remains constant as long as the external conditions, such as the force applied, do not change.
Therefore, under a constant force, the amplitude of SHM does not change. The motion will repeat with the same amplitude and frequency as long as the conditions remain constant.