**Problem 4**: A slender rod (mass \( M \) and length \( L \)) is fixed by a frictionless pin that is a distance \( L/6 \) from one end. Find an expression for its moment of inertia for rotation around that pin.---In this problem, we are asked to determine the moment of inertia of a slender rod when it rotates around a point that is not its center of mass. The pin is located at a distance \( L/6 \) from one end, which means that the moment of inertia calculation must consider this offset. Calculating such moments often involves using the parallel axis theorem.Instructions:1. Identify the center of mass and the pivot point.2. Use the appropriate formulas and theorems such as the parallel axis theorem to find the moment of inertia around the given pivot.---A detailed derivation and the final formula can help students understand rotational inertia in non-standard pivot points.

We are given mass of rod. We are given the length of rod. The moment of inertia about center of mass…

Answered: 4. A slender rod (mass M and length L)…

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4. A slender rod (mass M and length L) is fixed by a frictionless pin that is a distance L/6 from one end. Find an expression for its moment of inertia for rotation around that pin.