The moment of inertia of a system of particles is calculated by summing which of

The moment of inertia of a system of particles is calculated by summing which of the following?

The moment of inertia of a system of particles is calculated by summing which of the following?

Step 1: Understand that the moment of inertia is a measure of how difficult it is to change the rotation of an object.
Step 2: Recognize that the moment of inertia depends on the mass of each particle in the system.
Step 3: Identify that the distance of each particle from the axis of rotation is important.
Step 4: For each particle, calculate the square of its distance from the axis of rotation (r_i²).
Step 5: Multiply the mass of each particle (m_i) by the square of its distance (r_i²).
Step 6: Sum all the values from Step 5 for all particles to get the total moment of inertia (I).

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