Finding the Instantaneous Center of Rotation for Constant Angular Velocity

Click For Summary
SUMMARY

The discussion focuses on determining the instantaneous center of rotation for a bar AB with a constant angular velocity of 25 rad/s counterclockwise. The user successfully calculated the velocity of point B (Vb) as 507.5j using the equation Va = Vb + Wba x Ra/b. However, they expressed uncertainty about applying the instantaneous center of rotation method to find the required values for the rectangular plate FBDH and point F. Participants in the discussion provided guidance on identifying the motion directions of points B and D to aid in the solution.

PREREQUISITES
  • Understanding of angular velocity and its implications in rigid body motion
  • Familiarity with the equation Va = Vb + Wba x Ra/b
  • Knowledge of instantaneous centers of rotation in kinematics
  • Basic principles of vector addition in two-dimensional motion
NEXT STEPS
  • Study the concept of instantaneous centers of rotation in rigid body dynamics
  • Learn how to apply the equation Va = Vb + Wba x Ra/b in various scenarios
  • Explore examples of angular velocity calculations in mechanical systems
  • Investigate the relationship between linear and angular motion in rigid bodies
USEFUL FOR

Students in mechanical engineering, physics enthusiasts, and professionals working with kinematics and dynamics of rigid bodies will benefit from this discussion.

385sk117
Messages
50
Reaction score
0

Homework Statement



At the instant shown, bar AB has a constant angular velocity of 25 rad/s counterclockwise. Dtermine at that instant a) the angular velocity of the rectangular plate FBDH, b) the velocity of point F

Homework Equations



Va = Vb + Wba x Ra/b

The Attempt at a Solution



Found Vb with the above formula which equals to 507.5j. And i think i should use the instantaneous centre of rotation method but i don't know how to find it.
Can anyone help me to solve this problem?
 

Attachments

  • 3.jpg
    3.jpg
    12.9 KB · Views: 453
Physics news on Phys.org
385sk117 said:
Found Vb with the above formula which equals to 507.5j. And i think i should use the instantaneous centre of rotation method but i don't know how to find it.
Can anyone help me to solve this problem?

Hi 385sk117! :smile:

Do you mean you don't know how to find the instantaneous centre of rotation?

You know that B is moving perpendicular to AB, and D is moving perpendicular to DE. :wink:
 

Similar threads

Replies
67
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
15
Views
2K
  • · Replies 10 ·
Replies
10
Views
6K
  • · Replies 32 ·
2
Replies
32
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K