Effect of mass on the acceleration of an elastic pendulum?

[greg_2001]

I know that mass does not affect the acceleration in a simple pendulum undergoing SHM, but how does the mass on the spring that makes up the elastic pendulum affect its acceleration? Certainly, there must be a change due to the displacement from equilibrium caused by each differing mass? I am talking about finding the acceleration at a specific time on each trial with different masses and comparing them. How would they compare and why?

 

[PeroK]

Is this what you are looking for?
https://en.m.wikipedia.org/wiki/Elastic_pendulum

 

[berkeman]

Is this what you are looking for?
https://en.m.wikipedia.org/wiki/Elastic_pendulum

Holy smokes! I've never seen that before.

 

[realJohn]

Heavier mass experiences less acceleration and lighter mass experiences greater acceleration, because acceleration is inversely proportional to mass.