# Problem 6: Linear Analysis of a Spring-mass System

## Objective

The objective is to find the natural frequency of the spring mass system as shown in the figure below.

## Entities Validated

- Rigid body
- Spring

## Type of Analysis

- Linear

## Reference

Vector Mechanics for Engineers: Statics | Dynamics, Twelfth Edition by Beer, Johnston, Mazurek, Cornwell, Self: 1358

## Model Files

spring_mass_linear.mdl - MotionView Model

spring_mass_linear.xml - MotionSolve Deck

## Eigen File Results

## Result Comparison

Output | Analytical | MotionSolve | % Error |
---|---|---|---|

Natural frequency (Hz) | 2.250791 | 2.250791 | 0% |

## Conclusion

MotionSolve results compare well with the analytical results.