Solving 2D Velocity at Point P on a Rigid Body - HELP ME!

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In summary, the conversation was about finding the velocity at a point on a rigid body in 2D using an equation involving linear and angular velocity. The equation seemed to give an unrealistic result, but upon closer examination, it was realized that the angular velocity was in radians instead of degrees. This clarified the issue and the conversation ended with a thanks.
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porquilho
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Hi. I think this is my 1st post here but I browse a lot on the forum :smile:
I was trying to know the velocity at a point on a rigid Body (in 2D) and i found this equation on a paper:
http://members.fortunecity.de/porquilho/eqVel.jpg
where:
Vap = velocity at point P (body A)
Va1 = Linear Velocity of the Rigid Body CM (m/s)
w1 = Angular Velocity of the Rigid Body (rad/s)
rap with a invers "T" = the perpendicular distance vector from the CM to point p.

Im working on 2 dimension here so angular velocity is just a scalar

The question i have is the unreal result that this equation gives to me, for exemple:
Va1(0, -5)
w1=1.5;
rap(-5,-20) -> now we take the prependicular vector (90º to the left)
rapT(20, -5);
and if I am not mistak making the calculations
Vap = (0,-5) + ( 1.5*20 + 1.5*(-5))
Vap = (0,-5) + ( 30+(-7.5))
Vap = (0,-5) + 22.5 = (22.5, 17.5);
Vap=(22.5, 17.5)

I think this value is too high, are my calculations wrongs ?
HELP ME
 
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  • #2
Why is that "unreal"? This object is not moving very fast in translation but it is spinning like heck and it's pretty darn big.
 
  • #3
maybe ur right

well now that i look better the angular velocity is in rad's!
lool forgot that
Thanks.
 

FAQ: Solving 2D Velocity at Point P on a Rigid Body - HELP ME!

What is a rigid body?

A rigid body is an object that does not deform or change shape when subjected to external forces. It maintains its shape and size, and the distances between any two points on the object remain constant.

How is velocity measured on a rigid body?

Velocity is a vector quantity that measures the rate of change of position of a rigid body. It is typically measured in units of distance per time, such as meters per second or kilometers per hour.

What is the importance of solving 2D velocity at point P on a rigid body?

Solving 2D velocity at point P on a rigid body is important because it allows us to understand the motion and dynamics of the body. This information is crucial in various fields such as physics, engineering, and robotics.

How can we solve for 2D velocity at point P on a rigid body?

To solve for 2D velocity at point P on a rigid body, we can use the principles of kinematics and dynamics. This involves analyzing the forces acting on the body and using equations of motion to determine the velocity at a specific point.

Can we apply the same method for solving 2D velocity at different points on a rigid body?

Yes, the same principles and equations can be applied to solve for 2D velocity at different points on a rigid body. However, the specific values and variables may change depending on the location of the point on the body.

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