## What is the spring constant of a mass spring damper?

In mass-spring-damper problems there are several numerical constants to note. The constant k is called the spring constant and refers to the rigidity of the spring. The constant b is known as a damping coefficient and is significant in that it helps model fluid resistance. M in this case simply represents the mass of the block.

**Why is MATLAB so widely used for dynamic system simulation?**

One reason that Matlab is so widely used for dynamic system simulation is that it has most of the hard code already programmed. Now that the state-space matrices have been defined, the entire system can be condensed into a single variable in one line of code.

### How do you find the center of the mass of a spring?

Consider a spring-mass system shown in the figure below. Applying F = ma in the x-direction, we get the following differential equation for the location x (t) of the center of the mass:

**What is the spring constant and damping coefficient of a block?**

The constant k is called the spring constant and refers to the rigidity of the spring. The constant b is known as a damping coefficient and is significant in that it helps model fluid resistance. M in this case simply represents the mass of the block.

#### What is the spring constant in Step 5 of mass spring analysis?

Step 5: Define the Constants. In mass-spring-damper problems there are several numerical constants to note. The constant k is called the spring constant and refers to the rigidity of the spring. The constant b is known as a damping coefficient and is significant in that it helps model fluid resistance.

**What is the relationship between spring and viscous damping?**

The spring force is proportional to the displacement of the mass, , and the viscous damping force is proportional to the velocity of the mass, . Both forces oppose the motion of the mass and are, therefore, shown in the negative -direction. Note also that corresponds to the position of the mass when the spring is unstretched.