A thin rod of length L and mass M is rotated about an axis perpendicular to its length and passing through one end. What is its moment of inertia?

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Q: A thin rod of length L and mass M is rotated about an axis perpendicular to its length and passing through one end. What is its moment of inertia?

Solution: The moment of inertia of a thin rod about an end is I = 1/3 ML^2.

Steps: 6

Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to change the rotation of an object.
Step 2: Identify the shape of the object. In this case, it is a thin rod.
Step 3: Note the length of the rod, which is given as L, and its mass, which is given as M.
Step 4: Recognize that the axis of rotation is at one end of the rod and is perpendicular to its length.
Step 5: Use the formula for the moment of inertia of a thin rod rotating about an end, which is I = 1/3 ML^2.
Step 6: Substitute the values of M and L into the formula to find the moment of inertia.