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

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SUMMARY

In a spring-mass system, when a mass reaches its maximum position after being stretched, the acceleration is not zero. At this point, the forces acting on the mass include gravitational force and the spring force, represented by Hooke's Law (Fx = kx). Although the mass is momentarily at rest, it is changing direction, indicating that the acceleration is directed towards the equilibrium position, confirming that it cannot be zero at the maximum position.

PREREQUISITES
  • Understanding of Hooke's Law (Fx = kx)
  • Basic principles of Newtonian mechanics
  • Knowledge of forces and acceleration concepts
  • Familiarity with equilibrium in mechanical systems
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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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