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Laws of Mechanics_units_memo_S_2012

Laws of Mechanics_units_memo_S_2012 - ME 3504/3514...

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C:\My Docs\3504\ME3504_S_2012\Syllabus\Handouts 2012\Laws of Mechanics_units_memo_S_2012.doc Page 1 of 6 ME 3504/3514 Vibrations / Systems Dynamic R. G. Kirk 8-26-99/ S 2012 Laws of Mechanics 1. Newton's 1 st Law : Definition of Momentum, v m . A body at rest or in motion will remain at rest or in motion unless acted upon by some external force. 2. Newton's 2 nd Law : Definition of force (or torque). The sum of all external forces acting on a body equals the body's time rate of change of momentum. J dt d J J dt d T dt v m d F torsion for ; ) ( If mass is constant with time a m dt v d m F 3. Newton's 3 rd Law : For every action, there is an equal and opposite reaction. (Use this to build up system components into system equations of motion.) 4. Newton's 4 th Law : Mass attracts mass. Definition of weight. 2 R m m W b a Weight of body for engineering calculation taken as mg g W mg W c 1 or
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