For a system of particles, the moment of inertia is calculated as the sum of the products of mass and the square of the distance from the axis of rotation. This is known as:
Practice Questions
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Q1
For a system of particles, the moment of inertia is calculated as the sum of the products of mass and the square of the distance from the axis of rotation. This is known as:
Parallel Axis Theorem
Perpendicular Axis Theorem
Rotational Dynamics
Angular Momentum
This is known as the Parallel Axis Theorem, which states that I = Σ(m_i * r_i^2).
Questions & Step-by-step Solutions
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Q
Q: For a system of particles, the moment of inertia is calculated as the sum of the products of mass and the square of the distance from the axis of rotation. This is known as:
Solution: This is known as the Parallel Axis Theorem, which states that I = Σ(m_i * r_i^2).
Steps: 5
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 for a system of particles, we need to consider each particle's mass and its distance from the axis of rotation.
Step 3: The formula for calculating the moment of inertia (I) is I = Σ(m_i * r_i^2), where m_i is the mass of each particle and r_i is the distance from the axis of rotation.
Step 4: The term 'Σ' means you add up all the values for each particle in the system.
Step 5: This method of calculating moment of inertia is known as the Parallel Axis Theorem.
