A certain mechanical oscillator can be modelled as an ideal massless spring connected to a movable plate on an incline. The spring has spring constant k, the plate has mass m, and the incline makes an angle $\theta$ with the horizontal. When the system is operating correctly, the plate oscillates between A and B in the figure, located a distance L apart. When the plate reaches point A it has zero kinetic energy, but then trips a small lever that instantaneously loads a block of mass M onto the plate. The block and plate then move down the incline to point B, where the force from the spring stops the plate. At this point, the block falls through a hole in the incline, allowing the plate to move back up under the force of the spring. Upon returning to point A it collects another block, and the cycle repeats. Both the plate and the block have a coefficient of friction $\mu$ with the incline for both kinetic and static friction.