1. Calculate the moment of inertia of a uniform solid rod using integration.
Added by Myles M.
Step 1
First, we need to define the physical properties of the rod. Let's say the rod has a length L and a mass M. Show more…
Show all steps
Your feedback will help us improve your experience
Vishal Gupta and 73 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
1. Find the moment of inertia of a rod with uniform mass density with total mass M and length L about an axis perpendicular to the rod a) Passing through one end of the rod. Draw the picture of the rod, place your coordinate system on the rod, show related quantities (4 points) Evaluate the integral for moment of inertia of the rod. (Show your result in terms of with M and L) (6 points) b) Passing through the center of mass. Use parallel axis theorem (5 points)
Priyanka K.
Calculate the moment of inertia of a uniform straight $\operatorname{rod}(m, l)$ about the axis which is perpendicular biscetor of the rod
Rotational and Rolling Motion
Section A
Calculate the moment of inertia by direct integration of a thin rod of mass $M$ and length $L$ about an axis through the rod at $L / 3,$ as shown below. Check your answer with the parallel-axis theorem.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD