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- Step 1 of 3
Consider a small element of length dl on the bent rod asshown.
Calculate the mass of the small element of length dl asfollows:
Here, is mass per unit length.
Calculate the mass moment of inertia of the bent rod aboutx-axis as follows:
Here, y is the distance of the small element fromx-axis along the y direction.
Substitute for , for , and for dm.
Therefore, mass moment of inertia of the bent rod about xaxis is .
- Step 2 of 3
Calculate the mass moment of inertia of the bent rod abouty-axis as follows:
Here, x is the distance of the small element fromy-axis along the x direction.
Substitute for , for , and for dm.
Therefore, mass moment of inertia of the bent rod about yaxis is .
- Step 3 of 3
Calculate moment of inertia about z axis as follows:
Substitute for and for .
Therefore, mass moment of inertia of the bent rod about zaxis is .
- JavaScript Not DetectedJavaScript is required to view textbook solutions.
- Step 1 of 3
Consider a small element of length dl on the bent rod asshown.
Calculate the mass of the small element of length dl asfollows:
Here, is mass per unit length.
Calculate the mass moment of inertia of the bent rod aboutx-axis as follows:
Here, y is the distance of the small element fromx-axis along the y direction.
Substitute for , for , and for dm.
Therefore, mass moment of inertia of the bent rod about xaxis is .
- Step 2 of 3
Calculate the mass moment of inertia of the bent rod abouty-axis as follows:
Here, x is the distance of the small element fromy-axis along the x direction.
Substitute for , for , and for dm.
Therefore, mass moment of inertia of the bent rod about yaxis is .
- Step 3 of 3
Calculate moment of inertia about z axis as follows:
Substitute for and for .
Therefore, mass moment of inertia of the bent rod about zaxis is .
Engineering Mechanics Dynamics Pdf
Engineering Mechanics Dynamics 14th Edition PDF Free + Solutions Manual ️ DOWNLOAD LINK: The book is divided into 11 chapters.