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ESS 3301 Lec 5 - Projectile Motion 1 - Roll Spin Bounce and Impact

# ESS 3301 Lec 5 - Projectile Motion 1 - Roll Spin Bounce and Impact

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Announcements Announcements Exam 1 – Thursday, Sept. 22 Next few labs relate to Angular Motion and Projectile Motion Projectile Motion I (Lab 4 – Throwing, bouncing) Rolling and bouncing balls (Lecture 5) Impact & Coefficient of Restitution (Lecture 5) Flight & Fluid Mechanics (Lecture 6) Projectile Motion II (Lab 5 – Jumping) Calculations (yea!)

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Projectile Motion Projectile Motion Part 1: Roll, Spin, Bounce and Impact Part 1: Roll, Spin, Bounce and Impact ESS 3301-003 Lecture 5 Reading : McGinnis from Chapters 1, 2 & 8
Projectile Motion & Applications Projectile Motion & Applications Impact Conservation of linear momentum Spin and Bounce Rolling balls Impacting balls Coefficient of Restitution Temperature Effects Bouncing balls

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Impact Impact Conservation of Linear Momentum Conservation of Angular Momentum H pre = H post (m ·v) pre = (m · v) post ρ pre = ρ post (I · ω 2 ) pre = (I · ω 2 ) post
Collisions Collisions System consists of all objects involved in collisions pre-impact and post-impact Even if they are not moving ρ pre = ρ post (m ·v) pre = (m · v) post (m 1 · v 1 ) pre + (m 2 · v 2 ) pre = (m 1 · v 1 ) post + (m 2 · v 2 ) post So, for a 2 ball system…

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Impacting Balls Impacting Balls Conservation of Momentum Linear and angular momentum would be conserved if surfaces were frictionless The conditions at impact influence how the momentum is distributed
Impact Impact Typically, and in reality, however energy is lost in the collision Thus, momentum tends to not be conserved Ways energy is lost: Light Sound Heat (Deformation)

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ESS 3301 Lec 5 - Projectile Motion 1 - Roll Spin Bounce and Impact

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