# Period of a mass spring system with 2 spring of same K(vert)

• Simon George
In summary, the period of a mass attached to a spring in Simple Harmonic Motion can be calculated using T=2*pi*sqrt(m/k). When another spring of the same spring constant is attached parallel to the first, the period becomes T=T1/sqrt(2). This is because the two springs in parallel are stiffer than either spring separately, resulting in a higher natural frequency and a shorter period.
Simon George
A mass attached to a spring is oscillating in Simple Harmonic Motion. If an other spring of same sprinc constant is attached parrallel to the other spring, what is the period of this new system (as a function of the initial period).

Here's what I did and have no idea if this is right:

For the first period, T1= 2*pi*sqrt(m/k)

For the second period, T2= 2*pi*sqrt(m/(2k))
T2=(2*pi*sqrt(m/k))/sqrt(2)
T2=T1/sqrt(2)

Is that right?

Sanity check:
Two springs in parallel are stiffer than either spring separately.
The stiffer the spring(s), the higher the natural frequency.
The higher the natural frequency, the shorter the period.

You can use a similar line of reasoning for changes in the mass.

## What is a mass spring system with 2 springs of the same K(vert)?

A mass spring system with 2 springs of the same K(vert) is a physical system that consists of two springs connected in series and a mass attached to them. The springs have the same spring constant (K) in the vertical direction, which means they have the same stiffness or resistance to being stretched or compressed.

## What is the period of a mass spring system with 2 springs of the same K(vert)?

The period of a mass spring system with 2 springs of the same K(vert) is the time it takes for the system to complete one full oscillation, or one complete cycle of motion. It is affected by the mass of the object attached to the springs, the stiffness of the springs (K), and the gravitational force acting on the object.

## How is the period of a mass spring system with 2 springs of the same K(vert) calculated?

The period of a mass spring system with 2 springs of the same K(vert) can be calculated using the equation T = 2π√(m/K), where T is the period, m is the mass attached to the springs, and K is the spring constant (stiffness) of the springs.

## What factors affect the period of a mass spring system with 2 springs of the same K(vert)?

The period of a mass spring system with 2 springs of the same K(vert) is affected by the mass of the object attached to the springs, the stiffness of the springs (K), and the gravitational force acting on the object. It is also affected by any external forces, such as friction or air resistance, that may act on the system.

## How can the period of a mass spring system with 2 springs of the same K(vert) be changed?

The period of a mass spring system with 2 springs of the same K(vert) can be changed by altering the mass attached to the springs, the stiffness of the springs (K), or the gravitational force acting on the object. Additionally, external forces such as friction or air resistance can also affect the period of the system.

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