Problem 10: Kinematic Analysis of a Rolling Wheel


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


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 %


MotionSolve results compare well with analytical results.