COSMOS Chapter 9 Solution 160 | Answer Key - Edubirdie

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

2021
Views:

67

Pages:

2
Author:

Hundebuchesn

COSMOS: Complete Online Solutions Manual Organization System Chapter 9, Solution 160. First compute the mass of each component. Have Then m= W 1 = wL g g m1 = w w ( 2π × a ) = 2π a g g m2 = w w (a) = a g g m3 = w w ( 2a ) = 2 a g g m4 = w 3  w  2π × a  = 3π a g 2  g Now observe that the centroidal products of inertia, I x′y′ , I y′z ′ , and I z′x′ , of each component are zero because of symmetry. continued COSMOS: Complete Online Solutions Manual Organization System m 1 2 2π w a g w a g z x y 2a a 2a 1 a 2 0 3 2 w a g 2a 4 3π w a g 2a mx y −a 0 3 − a 2 2a 0 0 0 −9π w 3 a g w (1 − 5π ) a3 g ( 0 I xy = Σ I x′y′ + mx y I yz = Σ I y′z0′ + my z ) ( ) ( ) I zx = Σ I z′x0′ + mz x mz x w 3 a g −2π w 3 a g a Σ Then w 3 a g 4π my z −4π w 3 a g 0 4 −9π w 3 a g −11π w 3 a g w 3 a g 12π 4 w 3 a g w (1 + 2π ) a3 g or I xy = w 3 a (1 − 5π ) g or I yz = −11π or I zx = 4 w 3 a g w 3 a (1 + 2π ) g

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