Find the principal moments of inertia about the centre of mass of a flat rigid body in the shape of an isosceles right angled triangle. What are the principal axes of inertia.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 73E
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Q1 mathematical Mechanics
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Assignement
Due Date : December 15, 2021
Find the principal moments of inertia about the centre of mass of a flat
rigid body in the shape of an isosceles right angled triangle. What are the
principal axes of inertia.
2. Three equal masses are located at the point (a, 0,0), (0,0, 2a) and (0, 2a, a).
Obtain moments and product of inertia relative to the coordinate axis.
Also find the principal axis and principal moments of inertia.
Next Lecture's preview
In the next lecture we will start a new topic "Rotational Kinetic Energy of a
rigid body". We will derive its mathematical expression. The second topic will
be Equi-momental system. we will see some related examples at the end of
lecture.
5
Transcribed Image Text:4 Assignement Due Date : December 15, 2021 Find the principal moments of inertia about the centre of mass of a flat rigid body in the shape of an isosceles right angled triangle. What are the principal axes of inertia. 2. Three equal masses are located at the point (a, 0,0), (0,0, 2a) and (0, 2a, a). Obtain moments and product of inertia relative to the coordinate axis. Also find the principal axis and principal moments of inertia. Next Lecture's preview In the next lecture we will start a new topic "Rotational Kinetic Energy of a rigid body". We will derive its mathematical expression. The second topic will be Equi-momental system. we will see some related examples at the end of lecture. 5
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