Review for Midterm 3 - Classical Mechanics Review 3 Units 1-16 Review for midterm#3 Mechanics Review 3 Slide 1 Important Equations FNet Ext M 1 1 Center

Review for Midterm 3 - Classical Mechanics Review 3 Units...

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Classical Mechanics Review 3, Units 1-16 Review for midterm #3 Mechanics Review 3, Slide 1
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Important Equations Center of mass Collisions Elastic Collisions: and Inelastic Collisions: but Perfectly Inelastic Collisions: Impulse of a Force Rigid Bodies Moment of Inertia: Torque: Dynamics: and Relations Between Angular and Linear Quantities: Parallel Axis Theorem: I Axis = I CM + MD 2 Rolling Motion: Mechanics Review 3, Slide 2 v 1, i v 2, i  v 1, f v 2, f ) τ Net  = rF sin 0 Total P 0 Total K CM i i f v m m v m v m v 2 1 2 2 1 1 R a R v R s t , , 0 Total P i i CM v m M v 1 i i CM r m M r 1 M F a Ext Net CM , 0 Total K 0 Total P CM Ext Net a M F , dt F t F p avg 2 i i Axis r m I F r x cm R , v cm R , a cm R
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Example: Elastic Collision in 1D Two masses approach each other with equal and opposite velocities as measured in the lab reference frame. The mass moving to the right is twice as massive as the one moving to the left. The collision between them is elastic . What is the velocity of the center of mass before the collision? What is the velocity of the center of mass after the collision? What are the velocities of the two objects after the collision? Mechanics Review 3, Slide 3 V 1 = 1 m/s V 2 = -1 m/s Frictionless surface M M/2 g v 1 i v 2 i  v 1 f v 2 f ) Because the collision is elastic: v cm , i m 1 v 1 i m 2 v 2 i m 1 m 2 v cm , f m 1 v 1 i m 2 v 2 i m 1 v 1 f m 2 v 2 f
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Example: Explosion A rocket of mass m = 50 kg is fired vertically upward. At the instant it reaches an altitude of 1000 m and a speed of 300 m/s it explodes into three fragments of equal mass m/3 . One fragment moves upward with a speed of 450 m/s . The second has a speed of 240 m/s and is moving east.
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