Problem 2: Dynamic Analysis of the Simple Harmonic Motion of a Pendulum
Objective
The objective is to find the time period of simple pendulum of cord length 1 m,
released from an angle of 60ᵒ.Figure 1.
Entities Validated
- Rigid body
- Acceleration due to gravity
- Revolute joint
Type of Analysis
- Dynamic
Reference
Vector Mechanics for Engineers: Statics | Dynamics, Twelfth Edition by Beer, Johnston, Mazurek, Cornwell, Self: 1357
Model Files
simple_pendulum.mdl - MotionView Model
simple_pendulum.xml - MotionSolve Deck
Graphical Results
Result Comparison
| Output | Analytical | MotionSolve | % Error |
|---|---|---|---|
| Time period of pendulum (s) | 2.153 | 2.15 | 0.1% |
Conclusion
MotionSolve results compare well with analytical results.