1 / 15

Tutorial 13 Planar dynamics of rigid body

Tutorial 13 Planar dynamics of rigid body. Zhengjian, XU DEC 3rd, 2008. Rotation about a fixed axis for a mass point. Angular momentum:. Where H is the angular momentum with respect to the center of mass. Calculation of moment of inertia. A. O. B. A bar:. L. y. Rectangle:. h. O.

Download Presentation

Tutorial 13 Planar dynamics of rigid body

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Tutorial 13 Planar dynamics of rigid body Zhengjian, XU DEC 3rd, 2008

  2. Rotation about a fixed axis for a mass point Angular momentum:

  3. Where H is the angular momentum with respect to the center of mass

  4. Calculation of moment of inertia A O B A bar: L y Rectangle: h O x b y Circle: R x O

  5. Another method: parallel-axis method

  6. Example 1 • A horizontal force F = 30 lb is applied to the 230-lb refrigerator as shown. Friction is negligible. • (a) What is the magnitude of the refrigerator’s acceleration? • (b) What normal forces are exerted on the refrigerator by the floor at A and B?

  7. Solution: • Assume the box doesnot tip over, then the box has only horizontal velocity and acceleration. F Force equilibrium: O Vx, ax 60in G 28in NA NB 28in What’s the condition of F for tipping?

  8. Example 2 • Bar AB rotates with a constant angular velocity of 10 rad/s in the counterclockwise direction. The masses of the slender bars BC and CDE are 2 kg and 3.6 kg, respectively. The y axis points upward. • Determine the components of the forces exerted on bar BC by the pins at B and C at the instant shown.

  9. By 1. Dynamics analysis: Bx B Cy G C Cx Moment equlibrium equations D Cx C E Cy

  10. 2 Kinematics analysis By VB Bx VC B D Cx C E Cy C Cy Cx At this instant, point A is the instantaneous center of BC. From AB-BC: From CD:

  11. From the kinematics analysis:

More Related