Conceptual question - relative accleration of rigid bodies

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SUMMARY

The discussion centers on the relative acceleration of rigid bodies, specifically addressing the components of acceleration in links AB and BD. It is established that link AB, despite having a constant angular velocity, can exhibit both normal and tangential acceleration due to the dynamics of link BD. The participants clarify that link BD can have varying angular velocities, leading to a combination of normal and tangential components in its acceleration. The use of relative velocity diagrams is emphasized as a crucial tool for understanding these dynamics.

PREREQUISITES
  • Understanding of rigid body dynamics
  • Familiarity with angular velocity and acceleration concepts
  • Knowledge of relative velocity diagrams
  • Basic principles of rotational motion
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  • Study the effects of angular acceleration on rigid body motion
  • Learn about the Coriolis effect in rotating systems
  • Explore advanced topics in dynamics, such as Lagrangian mechanics
  • Review examples of relative motion in mechanical systems
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Students and professionals in mechanical engineering, particularly those focused on dynamics and kinematics of rigid bodies, as well as educators teaching these concepts in physics and engineering courses.

prettydumbguy
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To my knowledge, link AB should only have a normal component of acceleration. Whereas, link BD could have a combination of both normal and tangential. Also, point P will only a tangential acceleration.

Even though link AB has constant angular velocity, doesn't mean that BD will also have constant angular velocity. As if you were to do the relative velocity diagram of this problem you'd notice that there is both translation and rotation of link BD.
 
Sirsh said:
To my knowledge, link AB should only have a normal component of acceleration. Whereas, link BD could have a combination of both normal and tangential. Also, point P will only a tangential acceleration.

Even though link AB has constant angular velocity, doesn't mean that BD will also have constant angular velocity. As if you were to do the relative velocity diagram of this problem you'd notice that there is both translation and rotation of link BD.

Hmm, so if I have theta=0, AB and BD are both going straight up and D is at its highest point, what happens then? The normal acceleration in AB doesn't change, but then the acceleration of BD would be (alpha x rBD) + w x (w x rBD). So the tangential acceleration would be k x j = i. Then the normal would be j x k = i, k x i =j? I think I get it now.
 

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