Problem 10: Kinematic Analysis of a Rolling Wheel
Objective
The 80 mm radius wheel shown rolls to the left with a velocity of 900 mm/s. Knowing that the distance AD is 50 mm, determine the velocity of the collar when the wheel has rolled by 90ᵒ CCW from the position shown below.
Figure 1.
Entities Validated
- Rigid body
- Translational joint
- Revolute joint
- Inline joint
- Perpendicular axes joint
- General constraint
- Motion using markers – translation
- Sensor
Type of Analysis
- Kinematic
Reference
Vector Mechanics for Engineers: Statics | Dynamics, Twelfth Edition by Beer, Johnston, Mazurek, Cornwell, Self: 1022
Model Files
- pure_rolling_wheel.mdl - MotionView
- pure_rolling_wheel.xml - MotionSolveMotionSolve Deck
Graphical Results
Figure 2.
Result Comparison
| Output | Analytical | MotionSolve | % Error |
|---|---|---|---|
| Collar velocity (mm/s) | 710 | 710 | 0 % |
Conclusion
MotionSolve results compare well with analytical results.