ME 242 Lecture 36 05.04

# ME 242 Lecture 36 05.04 - ME 242 Dynamics May 4 2009 Final...

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1 ME 242 Dynamics May 4, 2009 Eric Wang Final Exam • Friday May 8, 12-2pm 2 pages of cheat sheets • Comprehensive 3 “complete” problems Course Evaluations Please complete ME242 course evaluations on WebCT Newton’s 1st Law: A body at rest, will remain at rest unless acted on by a non-zero net force (a body moving in a straight line will continue in a straight line). F = F 1 + F 2 + F 3 = 0 Newton’s 2nd Law: When a body is acted upon by a non-zero net force, the net force is equal to the time rate of change of the body’s linear momentum F = d dt XYZ mv ( ) Newton’s 3rd Law: For every action, there is an equal and opposite reaction

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2 Types of systems Single particle System of particles Rigid Bodies System of rigid bodies & particles Type of Problems 1. Force balance (F=ma) “now” questions 2. Impulse-momentum Before & after Collisions/impacts Often involve time 3. Work-energy Before & after Often involve distance a 2 = = θ a 1 b b 2 θ cos θ 0 0 0 0 1 cos θ -sin θ sin θ b 2 a 2 a 1 b 1 b 3 a 3 θ = 0 b 1 b 2 = 90 = Coordinate Transformation Array Ultra-Important Equation d dt N p = d dt S p + ω ×
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