What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through one end?
Practice Questions
1 question
Q1
What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through one end?
(1/3)ML^2
(1/12)ML^2
ML^2
(1/2)ML^2
The moment of inertia of a thin rod about an end is given by I = (1/3)ML^2.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through one end?
Solution: The moment of inertia of a thin rod about an end is given by I = (1/3)ML^2.
Steps: 5
Step 1: Understand what moment of inertia is. It measures how difficult it is to rotate an object around an axis.
Step 2: Identify the object in question. We have a thin rod of length L.
Step 3: Determine the axis of rotation. The axis is perpendicular to the rod and passes through one end.
Step 4: Recall the formula for the moment of inertia of a thin rod about an end. It is I = (1/3)ML^2, where M is the mass of the rod.
Step 5: Substitute the values if needed. If you know the mass (M) and length (L) of the rod, you can calculate the moment of inertia using the formula.
