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  # Vector Mechanics for Engineers Dynamics (10th Edition)
  
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  Chapter: Problem:
  SAMPLE SOLUTION
  Chapter: Problem:
  • Step 1 of 1
  
  7949-B-1P AID: 1825 | 30/11/2013
  
  Show the dimensions of the triangular plate as in Figure (1).
  
  Calculate the height of the triangle (h).
  
  Here, side of the triangle is a.
  
  Express the formula for area of the triangle (A).
  
  Substitute for h.
  
  Calculate the distance between point E and centroid C.
  
  Substitute for h.
  
  Express the volume of triangle (V).
  
  Here, thickness of triangle plate is t.
  
  Calculate the mass of triangular plate (m).
  
  Here, density of triangular plate is.
  
  Substitute At for V.
  
  Express the formula for mass moment of inertia.
  
  Here, moment of inertia is I.
  
  a)
  
  Calculate the moment of inertia of triangular plate with respect to axis .
  
  Substitute for h.
  
  Now, calculate the mass moment of inertia of triangular plate with respect to axis .
  
  Substitute for , for , and for A.
  
  Hence, the mass moment of inertia of triangular plate with respect to axis is.
  
  Calculate the moment of inertia of triangular plate with respect to axis .
  
  Substitute for h.
  
  Now, calculate the mass moment of inertia of triangular plate with respect to axis .
  
  Substitute for , for , and for A.
  
  Hence, the mass moment of inertia of triangular plate with respect to axis is.
  
  b)
  
  Express the formula for mass moment of inertia of triangular plate with respect to axis .
  
  Substitute for both and .
  
  Hence, the mass moment of inertia of triangular plate with respect to axis is.
  
  Corresponding Textbook
  
  Vector Mechanics for Engineers Dynamics | 10th Edition
  9780077402327ISBN-13: 0077402324ISBN:
  Alternate ISBN: 9780077531348, 9780077573263, 9780077889715
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