If a particle with mass m, moves with velocity v, K = =mv² For two body system, 1 m¡v,² + 2 2 K = For n body system, K = 2 5m;v;? i=1 n 1 m:(wr;)? . ..... .... i=1 Where w is angular velocity, r is the distance from the rotation axis. Why w does not have w; like r; in this equation?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.16P
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If a particle with mass m, moves with velocity v,
1
K = =mv?
For two body system,
1
K =zm1
2
1
+
m2v2°
For n body system,
K =
M¡V¡'
2
i=1
n
Σ
1
..... .......
i=1
Where w is angular velocity, r is the distance from the rotation
axis.
Why w does not have w; like r; in this equation?
Transcribed Image Text:If a particle with mass m, moves with velocity v, 1 K = =mv? For two body system, 1 K =zm1 2 1 + m2v2° For n body system, K = M¡V¡' 2 i=1 n Σ 1 ..... ....... i=1 Where w is angular velocity, r is the distance from the rotation axis. Why w does not have w; like r; in this equation?
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