# 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.

## 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

## Result Comparison

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

Collar velocity (mm/s) | 710 | 710 | 0 % |

## Conclusion

MotionSolve results compare well with analytical results.