How Is Simple Harmonic motion possible here?

[Hydrous Caperilla]

One thing I don't understand is that How Amplitude is conserved on both sides if the mass is subjected to different forces on either side of this shm...

 

[Dale]

What is the net force as a function of displacement?

 

[Hydrous Caperilla]

What is the net force as a function of displacement?

If I displace it towards left and then release it ,the net force will be F=(K1+K2)X towards right and then it will reach the equilibrium point and then again experience (K1+K2)X towards left which seems awfully like an even function to me

 

[Dale]

So this is the exact same force as for a mass attached to a single spring with a spring constant k=K1+K2

 

[Hydrous Caperilla]

So this is the exact same force as for a mass attached to a single spring with a spring constant k=K1+K2

Kay Makes Sense to Me somewhat...Is that the reason that velocity is also repeated.ie the mean velocity is same after oscillating from mean to left and then coming to mean once again...Can you tell me more about this symmetrical force acting which makes such factors repeat

 

[Dale]

Your period key may need to be removed and cleaned. It appears to be sticking.

The fact that the speed is the same at the equilibrium point is a consequence of the conservation of energy, not the symmetry of the force.

 

[Hydrous Caperilla]

Kay makes sense to me now.The conservation of energy is responsible for that consequence.Thanx for the reply