Dynamics_Part30

Dynamics_Part30 - 1 + 2 R 2 k (c) We seek the conditions...

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The Principle of Work and Energy tells us that T 1 + U 1 2 = T 2 Because the collar starts from rest, its initial kinetic energy is zero. Thus, since its speed when it reaches Point B is V ,the refo l lows 0+2 kR 2 +4 λ R 4 = 1 2 mV 2 = V 2 = 4 kR 2 m + 8 λ R 4 m Therefore, the collar’s speed is V =2 R 5
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Unformatted text preview: 1 + 2 R 2 k (c) We seek the conditions under which V ( ) = 2 V (0) . Using the result of Part (b), we find 2 R 5 k m 5 1 + 2 R 2 k = 4 R 5 k m = 1 + 2 R 2 k = 4 Solving for , we conclude that = 3 k 2 R 2...
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This note was uploaded on 05/12/2010 for the course AME 301 taught by Professor Shiflett during the Spring '06 term at USC.

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