.Three identical uniform rods, each of length L and mass m, are joined to form a rigid equilateral triangle Its radius of gyration about an axis passing through a corner and perpendicular to the plane of the triangle is

.Three identical uniform rods, each of length L and mass m, are joined to form a rigid equilateral triangle Its radius of gyration about an axis passing through a corner and perpendicular to the plane of the triangle is

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.42P: Solve Prob. 8.41 assuming that the triangle is revolved about the y-axis.

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

.Three identical uniform rods, each of length L and mass m, are joined to form a rigid equilateral triangle
Its radius of gyration about an axis passing through a corner and perpendicular to the plane of the triangle is
L
L
-| -| -S -15

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