sln3 - HW#3 Problem 1 H C = ri mi Ri i H C = r m1 R1 + r2...

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HW#3 Problem 1 11 1 2 2 Ci i i i C Hr m R m R rm R •• 2 And the definition of the position of C.M. wrt pt. O: 12 Co mR R mm + = + 1 1 22 2 2 1 1 1 1 2 2 00 () Co Rm R m R m r m r m mr m r r r r m r r r =→ + = + = =− + + = = + use 21 rrr = Plug into the 1 C m R R 2 1 2 using r = C m R R rmR rR r R rRR rr R R × + × ++   +  + For ± 1 C mHm r r m ≅≅ ≅× +
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Problem 2 (i) ˆ r rr e = ˆˆ () dr d e r e dt dt ˆ r e θ •• == =+ 2 ˆ ˆ ( ) ( ( 2 ) r d d d e r e r e r dt dt dt dt e r r e ) e θθ •• •• •• • • + = + =− + + So, 2 2 ( 2 r r er re r ) µ •• •• •• • • =− + (ii) 2 22 2 ˆˆ ˆ ˆ ˆ 2 02 0 k kk k hrv hr e r e re hr e dh d re r r e dt dt rr r e r r r e dt =× + =  + + ×   =→ + = 2 ˆ k (a) 2 2 2 2 2 24 2 42 2 32 0 0 0 r hh h h r •• •• •• −+= =→ = −+ =
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(b) () 22 2 2 2 2 2 23 2 2 2 2 2 2 ddh hr r dt dt r dr dr d
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This note was uploaded on 08/26/2008 for the course EAS 4510 taught by Professor Fitz-coy during the Spring '05 term at University of Florida.

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sln3 - HW#3 Problem 1 H C = ri mi Ri i H C = r m1 R1 + r2...

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