Two rods of equal mass m and length ℓ lie along the x axis and y axis with their centres origin. What is the moment of inertia of both about the line x=y :

Question

Two rods of equal mass m and length ℓ lie along the x axis and y axis with their centres origin. What is the moment of inertia of both about the line x=y :
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Solution 1

The moment of inertia of a rod about an axis through its center and perpendicular to the length of the rod is given by (1/12)ml².

For the rod along the x-axis, the axis of rotation (line x=y) is at an angle of 45 degrees. Using the perpendicular axis theorem, the moment of inertia Ix for this rod Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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