Question about linear momentum and angular

AI Thread Summary
In the discussion, the focus is on the relationship between linear momentum and impulse for a rigid body with initial momentum zero. It is established that if the initial linear momentum is zero, the final linear momentum will equal the impulse, indicating both vectors must align in direction. The mention of angular momentum is clarified as unnecessary for this specific analysis, as it does not affect the linear momentum-impulse relationship being discussed. The conversation emphasizes the vector nature of momentum and impulse, reinforcing that they must share the same direction when initial conditions are zero. Understanding this relationship is crucial for solving problems involving both translation and rotation in rigid bodies.
Queren Suriano
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Homework Statement


If an analysis of momentum and impulse, a rigid body has initial linear and angular momentum zero, does this mean that the vector sum of the impulses and the vector of LINEAR momentum final, will be in the same direction?

Homework Equations


Systema moment 1 + System Extern Impulses (1-->2) = Sistem Momenta 2

The Attempt at a Solution


I supposed that, because they are vectors, right??
 
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If we let L denote the linear momentum and I the linear impulse (both vector quantities), then
L2 - L1 = I
This is a vector equation. If (for your problem) L1 = 0, then this reduces to
L2 = I
which says that both vectors must have the same direction.

Angular momentum is not involved at all here. Why did you mention it in the original question?
 
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Ok, thank you! I was talking about angular momentum becasue it's included in an analysis for solve a problem where a rigid body is in translation and rotation.
 
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