Hey, I have a debate that needs to be resolved. Here is the diagram of the problem and I will describe below: It is essentially a string that has a spring attached to the bottom with a weight of mass m attached to the spring. This is system is pulled back and released. Is it possible that if the period of both spring and the pendulum in simple harmonic motion are matching, that the weight of mass m will travel linearly, i.e. the spring will compress and expand at a rate that the weight is neither raised nor lowered by the system. Is this possible even on a theoretical level? When I work think about it, it seems like it should be possible to get a spring and a pendulum to both oscillate in such a way that the weight travels in a straight line. Maybe not, but I thought I would run it by some experts to get your opinions. If you need more information just respond to this letting me know and I can answer any questions you might have. Thanks in advance for any help.