Does the Mass Affect the Damping Coefficient in Spring Oscillations?

In summary, the mass of a vertically suspended spring with an attached mass at the bottom is proportional to the damping coefficient. A heavier mass will result in a higher damping coefficient, causing the spring oscillation to die faster compared to a lighter mass. This is because the larger mass will oscillate slower and the damping coefficient depends on velocity, resulting in less energy lost in each cycle. The information about the mass being released at rest at a certain height does not provide any additional information about the damping.
  • #1
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Just a quick question that I am unsure about. Let say a vertically suspended spring with an attached mass at the bottom. How does the mass relate to the damping coefficient?

I am guessing that the mass is proportional to the damping coefficient. The heavy the mass at the end, the higher the damping coefficient which causes the spring oscillation to die faster than a lighter mass.

Am i right? If not please correct me and explain. thanks alot.
 
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  • #2
The spring with the larger mass will oscillate slower, the damping depends on velocity, so there will be less energy lost in each cycle for a larger mass.
 
  • #3
The mass is released at rest at height A, does this give more information about the damping?
 

Related to Does the Mass Affect the Damping Coefficient in Spring Oscillations?

What is damping coefficient of spring?

The damping coefficient of spring is a measure of the amount of resistance or damping force that is present in a spring system. It is a constant that determines the rate at which the oscillations of the spring will decrease over time.

How is damping coefficient of spring calculated?

The damping coefficient of spring is calculated by dividing the damping force by the velocity of the spring system. This can be mathematically represented as C = F/v, where C is the damping coefficient, F is the damping force, and v is the velocity.

What factors affect the damping coefficient of spring?

There are several factors that can affect the damping coefficient of spring, including the type of material used for the spring, the shape and size of the spring, and the presence of any additional damping mechanisms such as friction or air resistance.

How does damping coefficient of spring affect the behavior of a spring system?

The damping coefficient of spring plays a crucial role in determining the behavior of a spring system. A higher damping coefficient will result in a faster decrease in oscillations, leading to a shorter duration of the spring's motion. On the other hand, a lower damping coefficient will result in longer-lasting oscillations.

What are the different types of damping in a spring system?

There are three main types of damping in a spring system: viscous damping, hysteretic damping, and Coulomb damping. Viscous damping is caused by the resistance of a fluid, while hysteretic damping is due to the internal friction of the spring material. Coulomb damping is caused by the sliding friction between two surfaces in contact.

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