Conceptual Dynamics - Independent Learning

Instantaneous Center of Zero and Known Velocities - Example Problem 4.4-9

 

Disk D, of radius r = 0.5 m, rolls without slipping on a horizontal floor with a constant clockwise angular velocity of ω = 3 rad/s. Rod R is hinged to D at A and the end of the rod B, slides along the floor. Determine the angular velocity of R when the line OA joining the center of the disk to the hinge at A is horizontal as shown.

 

 

Given:

  • ω = 3 rad/s
  • r = 0.5 m
  • No slip

 

Find: ωR

 

Familiarize yourself with the system. Identify all points of known angular and linear velocity and their directions. Draw these directions on the figure in your book. Click on the figure when done.