For a system of particles, how is the moment of inertia calculated?
Practice Questions
1 question
Q1
For a system of particles, how is the moment of inertia calculated?
Sum of individual moments
Product of mass and distance squared
Sum of mass times distance squared
Average of all moments
The moment of inertia for a system of particles is calculated as I = Σ(m_i * r_i^2), where m_i is the mass and r_i is the distance from the axis.
Questions & Step-by-step Solutions
1 item
Q
Q: For a system of particles, how is the moment of inertia calculated?
Solution: The moment of inertia for a system of particles is calculated as I = Σ(m_i * r_i^2), where m_i is the mass and r_i is the distance from the axis.
Steps: 5
Step 1: Identify the particles in the system and their masses (m_i).
Step 2: Determine the axis of rotation for the system.
Step 3: Measure the distance (r_i) of each particle from the axis of rotation.
Step 4: For each particle, calculate the product of its mass and the square of its distance from the axis (m_i * r_i^2).
Step 5: Add all the values from Step 4 together to get the total moment of inertia (I = Σ(m_i * r_i^2)).
