Question

I know that mass is inversely proportional to the oscillation frequency. And that makes sense, if someone's mass is so high, this means that he will hit the same point fewer times than another someone whose mass is lower. but the equation of the frequency of the oscillation = square root K.m / 2Pi shows a direct relationship between them.

explain how?

Answer 1

The equation for the frequency of oscillation in a mass-spring system is square root (k/m)/(2Pi). While it may seem that the equation shows a direct relationship between mass and frequency, it is important to note that the equation also includes the force constant. If we hold the force constant k constant and increase the mass m, the frequency of oscillation will decrease.

Step-by-step explanation:

The equation for the frequency of oscillation α in a mass-spring system is α = √(k/m)/(2π), where k is the force constant and m is the mass of the system.

While it may seem that the equation shows a direct relationship between mass and frequency, it is important to note that the equation also includes the force constant.

If we hold the force constant k constant and increase the mass m, the frequency of oscillation α will decrease.