mae 208 test2 spring 03 solution

mae 208 test2 spring 03 solution - SPRING 2003 MAE 208...

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SPRING 2003 ENGINEERING DYNAMICS SILVERBERG MAE 208 SOLUTION TO TEST 2 Name ______________________________ Social Security Number ________________ Instructions: Please write very neatly, show your work, and box in your answers. THEORY PROBLEM (a) ( 10 points ) Draw a figure showing a coordinate system with origin O and multiple particles. Designate one of the particles as the i -th particle and another as the j -th particle. Show in the figure r i , r j , m i , m j , f ij , f ji , F i , and F j . Define the mass center of the system of particles. ANSWER: = = = = n i i n i i i C m m m m 1 1 , 1 r r (b) ( 10 points ) Express mathematically Newton’s 2 nd and 3 rd Laws. ANSWER: ji j ij i ji ij n j j i i rd m nd f r f r f f F a × - = × = = = , : 3 , : 2 1 (c) ( 10 points ) Show that F = m a C for a system of particles. O z m i , f ij , F i x m j , f ji , F j

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N, ks B mg a ANSWER: . so , 1 get to time respect to with twice ate differenti Also, . since n 1 i C 1 1 1 1 1 n 1 i C i i C ji ij n i n j ij n i i n i n j ij i i i m m m m a F a a r f f F 0 F f F f F a = = = = + = + = + =
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This note was uploaded on 08/01/2008 for the course MAE 208 taught by Professor Silverberg during the Spring '08 term at N.C. State.

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mae 208 test2 spring 03 solution - SPRING 2003 MAE 208...

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