A uniform thin rod is pivoted about one of its ends so that it can rotate freely in a…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A uniform thin rod is pivoted about one of its ends so that it can rotate freely in a vertical plane. In a laboratory test its moment of inertia about the pivot is determined to be 0.20 kg m20.20\,\text{kg m}^{2}. The rod has a mass of 2.5 kg2.5\,\text{kg}. (i) Write the mathematical expression for the moment of inertia of a uniform thin rod about an axis through one end and perpendicular to its length. (ii) Using the measured value, calculate the length of the rod.

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