What is the final angle θf that the ball's velocity vector makes with the negative y axis?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.31P
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What is the final angle θf that the ball's velocity vector makes with the negative y axis?

y
X+
m
m
0
Transcribed Image Text:y X+ m m 0
A ball of mass m moving with velocity 7₁ strikes a vertical
wall as shown in (Figure 1). The angle between the ball's
initial velocity vector and the wall is 0₁ as shown on the
diagram, which depicts the situation as seen from above. The
duration of the collision between the ball and the wall is At,
and this collision is completely elastic. Friction is negligible,
so the ball does not start spinning. In this idealized collision,
the force exerted on the ball by the wall is parallel to the
x axis.
Transcribed Image Text:A ball of mass m moving with velocity 7₁ strikes a vertical wall as shown in (Figure 1). The angle between the ball's initial velocity vector and the wall is 0₁ as shown on the diagram, which depicts the situation as seen from above. The duration of the collision between the ball and the wall is At, and this collision is completely elastic. Friction is negligible, so the ball does not start spinning. In this idealized collision, the force exerted on the ball by the wall is parallel to the x axis.
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