View more editions

# Vector Mechanics for Engineers Dynamics (10th Edition)

• 1706 step-by-step solutions
• Solved by publishers, professors & experts
• iOS, Android, & web
Looking for the textbook?
Over 90% of students who use Chegg Study report better grades.
May 2015 Survey of Chegg Study Users
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
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}