lctr02_s12 - § 1.1-1.8 Fundamentals, units, calculations...

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Unformatted text preview: § 1.1-1.8 Fundamentals, units, calculations Common idealizations in mechanics: particle- has mass but a size that can be neglected. rigid body- a collection of particles such that the distance between all particles remains constant. A rigid body is not deformable. 1st law : A particle remains at rest , or continues to move in a straight line with uniform velocity , if there is no unbalanced force acting on it. Newton’s laws of motion Acceleration is a time rate of change of velocity : dt u d v u dt dv u v dt d dt v d a t t t ˆ ˆ ) ˆ ( + = = = 2nd law : The acceleration of a particle is proportional to the resultant force acting on the particle, and is in the direction of this force. Newton’s laws of motion i a m F i = ∑ 3rd law : The forces of action and reaction between interacting bodies are equal in magnitude, opposite in direction, and co- linear. Newton’s law of gravitational attraction Consider two particles of mass m 1 and m 2. Newton observed : F = G m 1 m 2 r 2 F = force of attraction between the two particles.= force of attraction between the two particles....
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This note was uploaded on 03/15/2012 for the course EMA 201 taught by Professor Witt during the Spring '08 term at University of Wisconsin Colleges Online.

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lctr02_s12 - § 1.1-1.8 Fundamentals, units, calculations...

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