Particle Impact: Ex Prob 5 (Fully-Oblique) Two identical particles A and B strike one another obliquely (off-center) as shown below. Please determine the.

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Particle Impact: Ex Prob 5 (Fully-Oblique) Two identical particles A and B strike one another obliquely (off-center) as shown below. Please determine the velocity vectors of particles A and B (with respect to a horizontal- vertical coordinate system) after impact. What’s the first step? What’s the key theoretical principle that unlocks this problem?

Identify Plane of Contact (y), Line of Impact (x), assume v A2 and v B2 directions, and resolve all vectors into components.

Key! The y values carry through after impact because of no friction impulse during impact.

Once the y-values (along the plane of contact) are determined, all that is left is to determine the x-values (along the line of impact). This is a simple straight line problem! Write these two eqns, and solve for the two unknowns v Ax2, v Bx2

Find magnitudes only of v A2 and v B2 :

Write v A2 and v B2 as vectors in the horiz-vertical coord system: