The spring is 5 cm at its natural length. When at equilibrium (e.g. see figure) its length becomes 50 cm. The cart’s mass is 273 gr and the hanging weight is 300 gr. The cart and weight are set into oscillation. Derive the theoretical period as a function of the two masses and the spring constant (no air resistance or friction). Show methodology and discrete steps.

The spring is 5 cm at its natural length. When at equilibrium (e.g. see figure) its length becomes 50 cm. The cart’s mass is 273 gr and the hanging weight is 300 gr. The cart and weight are set into oscillation. Derive the theoretical period as a function of the two masses and the spring constant (no air resistance or friction). Show methodology and discrete steps.

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