The rigid body of mass m shown in figure Q3 on page 4 has a circular base radius 4. Any section parallel to the yz plane is an equilateral triangle. Employ the triangular elements shown in figure Q4 to determine the volu V of the body by integration 3.1 Using the same elements as in 3.1, determine the mass moment of inertia the body about the x-axis in terms of m. Hint : the polar mass moment inertia of a triangular plate with mass m and equal sides of length 2b about axis x that passes through the center of a side is: 3.2 Zmb

The rigid body of mass m shown in figure Q3 on page 4 has a circular base radius 4. Any section parallel to the yz plane is an equilateral triangle. Employ the triangular elements shown in figure Q4 to determine the volu V of the body by integration 3.1 Using the same elements as in 3.1, determine the mass moment of inertia the body about the x-axis in terms of m. Hint : the polar mass moment inertia of a triangular plate with mass m and equal sides of length 2b about axis x that passes through the center of a side is: 3.2 Zmb

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

Question

100%

The rigid body of mass m shown in figure Q3 on page 4 has a circular base
radius 4. Any section parallel to the yz plane is an equilateral triangle.
Employ the triangular elements shown in figure Q4 to determine the volu.
V of the body by integration
3.1
Using the same elements as in 3.1, determine the mass moment of inertia
the body about the x-axis in terms of m. Hint : the polar mass moment
inertia of a triangular plate with mass m and equal sides of length 2b about
axis x that passes through the center of a side is:
3.2
-Źmb

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