University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2021
Views:

487

Pages:

1
Author:

Apolenajz

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 122. ∴a = L r1 = 2 r2 Now m = ρV or Now Have Where dm = ρ dV ( = ρ π r 2dx ∴ π 2 2 π = ρ  ( 2L )( 2r2 ) − ( L )( r2 )  3 3  7π = ρ Lr22 3 3 m πρ = 7 Lr22 r −r r = 2 1 x + r1 L x  = r2  2 −  L   dI z = dI z′ + x 2dm 1 = ( dm ) r 2 + x 2dm 4 ) 1  dI z = πρ  r 4 + r 2 x 2  dx 4   4 2  1     x  x    = πρ   r2  2 −   + x 2  r2  2 −    L  L      4    Then Iz = 4 3 m 2 L1 2  x x x2  2 − + − + r r 2 x 4 4     dx 2 ∫0 2    7 Lr22 L L L2    4   ( ) L 5 3 m 1 2  1  x 4 x 4 1 x5   = +  r2   ( − L )  2 −  + x3 −  7 L  4  5  L 3 L 5 L2   0 Iz = m 93r22 + 32L2 140 ( )

COSMOS Chapter 9 Solution 122

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