m is used for the mass already, you shouldn't reuse symbols for different things. Where can you use that formula?cxz7410 said:
That formula only applies to the usual simple arrangement of spring and mass.cxz7410 said:
While it is true that you can make your quoted formula work by finding an "effective" mass for the m in it to represent, it is not at all obvious how to find it. Indeed, that approach would be backwards. You need to find the equation of motion from first principles. Having found that you will see what the effective mass is in this arrangement. It is a very bad idea to go making wild guesses.cxz7410 said:
The natural frequency of a system is the frequency at which it will oscillate freely without any external force applied.
The natural frequency can be determined by analyzing the physical properties of the system, such as mass, stiffness, and damping. It can also be calculated using mathematical equations or through experiments.
The natural frequency is important because it helps us understand how a system will behave when subjected to external forces. It is also used in designing and analyzing structures to ensure that they can withstand vibrations at their natural frequency.
Yes, the natural frequency can be changed by altering the physical properties of the system. For example, by increasing the stiffness, the natural frequency will increase, and by increasing the mass, the natural frequency will decrease.
The natural frequency has various applications in different fields such as engineering, physics, and music. It is used in designing structures, analyzing vibrations, and tuning musical instruments. It is also important in understanding the behavior of natural phenomena, such as earthquakes and ocean waves.
