Dropping the sandbag depletes the energy stored in the cart-spring system. As a result, the amplitude cannot be constant. The only way for the amplitude to rise is if the system gains energy.
This indicates that a horizontal spring's equilibrium position is independent of the mass attached to it.
The same logic applies if you, for example, replace the spring with a stronger one of the same natural length: the equilibrium position will remain unchanged.
Even though the weight must travel longer each oscillation if the amplitude is bigger, the spring produces a stronger force on average, resulting in more acceleration and average speed.
Because the effects of the longer distance and quicker speed balance out, the period of oscillation remains constant!
Learn more about to equibrium visit here;
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