How do we derive the total spring constants of different mass spring systems
A spring constant is a measure of the stiffness of a spring. It determines how much force is required to stretch or compress the spring by a certain distance.
Spring constant is calculated by dividing the applied force by the resulting displacement. It is typically measured in units of newtons per meter (N/m).
The mass of an object attached to a spring does not affect the spring constant. However, the mass does affect the period of oscillation of the spring-mass system.
In a mass-spring combination, the spring constant remains constant. However, the effective spring constant may change depending on the configuration of the springs (i.e. series or parallel).
Temperature does not have a significant effect on the spring constant. However, extreme temperatures can cause the material of the spring to expand or contract, which may slightly affect the spring constant.