For a system of particles, the total moment of inertia is calculated by which of the following?

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Q: For a system of particles, the total moment of inertia is calculated by which of the following?

Solution: The total moment of inertia for a system of particles is the sum of each particle's moment of inertia, I_total = Σ(m_i * r_i^2).

Steps: 5

Step 1: Understand that the moment of inertia measures how difficult it is to rotate an object around an axis.
Step 2: Recognize that for a system of particles, each particle has its own mass and distance from the axis of rotation.
Step 3: Identify that the moment of inertia for a single particle is calculated using the formula I = m * r^2, where m is the mass and r is the distance from the axis.
Step 4: Realize that to find the total moment of inertia for all particles, you need to add up the moment of inertia for each particle.
Step 5: Use the formula I_total = Σ(m_i * r_i^2), where m_i is the mass of each particle and r_i is the distance of each particle from the axis.