Is Acceleration Zero at the Maximum Position of a Spring-Mass System?

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At the maximum position of a spring-mass system, the mass experiences forces from gravity and the spring force (Fx = kx). Although these forces are balanced at this point, the mass is changing direction, indicating that it is undergoing acceleration. Therefore, the acceleration cannot be zero at the maximum position, as a change in direction implies a non-zero acceleration. The discussion emphasizes the relationship between force, motion, and acceleration in oscillatory systems. Understanding these dynamics is crucial for analyzing spring-mass behavior.
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Homework Statement



When a mass is suspended from a spring, the spring reaches a new equilibrium position. The spring is then stretched downward by a certain amount x. When the spring comes back up and the mass reaches its maximum position, is the mass' acceleration zero? And what are all of the forces acting on it at this maximum position? I know that gravity and Fx = kx act on it, but is there anything else?
 
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Yes, those are the only forces on the mass. Now, the mass is in the process of changing direction of motion at the maximum position. What does this tell you about the acceleration? Can it be zero in this situation?
 

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