How Does Acceleration Impact the Angular Rotation of a Beam?

[Ry122]

if b is the fulcrum then Va = Vb + Wab*rb/a
But this taking into account only the velocity mentioned in the question.
I'm not sure what effect the acceleration will have on the velocity of point A.
What equation do I need to use to take the acceleration into account as well?

[PLAIN]http://img197.imageshack.us/img197/112/beamdy.jpg

 

[Quinzio]

It says "at this instant", so...

 

[Ry122]

Are you saying that it has no effect?

 

[Marioqwe]

Isn't there a relationship between linear velocity and angular velocity?

 

[DeeNos]

As a scientist, it is important to consider all factors when analyzing a system. In this case, while the initial equation given takes into account the angular velocity and distance from the fulcrum, it does not account for the effect of acceleration on the velocity of point A. To fully understand the motion of the beam, we need to incorporate the concept of angular acceleration.

To do this, we can use the equation for angular acceleration, α = a/r, where α is the angular acceleration, a is the linear acceleration, and r is the distance from the fulcrum. We can then substitute this into the equation given, Va = Vb + Wab*rb/a, to get the full equation:

Va = Vb + (Wab*rb/a) + (α*rb)

This equation takes into account both the initial velocity and acceleration of point A, as well as the angular velocity and distance from the fulcrum. By including all of these factors, we can better understand the angular rotation of the beam and accurately predict its motion.

In conclusion, as a scientist, it is important to consider all factors and use appropriate equations to fully understand a system. By incorporating the concept of angular acceleration, we can enhance our understanding of the motion of the beam and make more accurate predictions.