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For a system of particles, the total moment of inertia is calculated by which of
For a system of particles, the total moment of inertia is calculated by which of the following methods?
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Practice Questions
1 question
Q1
For a system of particles, the total moment of inertia is calculated by which of the following methods?
Adding individual moments of inertia
Multiplying total mass by average distance
Using the parallel axis theorem
Using the perpendicular axis theorem
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The total moment of inertia for a system of particles is calculated by adding the individual moments of inertia.
Questions & Step-by-step Solutions
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Q
Q: For a system of particles, the total moment of inertia is calculated by which of the following methods?
Solution:
The total moment of inertia for a system of particles is calculated by adding the individual moments of inertia.
Steps: 4
Show Steps
Step 1: Identify each particle in the system and its mass.
Step 2: Determine the distance of each particle from the axis of rotation.
Step 3: Calculate the moment of inertia for each particle using the formula: I = m * r^2, where 'm' is the mass and 'r' is the distance from the axis.
Step 4: Add all the individual moments of inertia together to get the total moment of inertia for the system.
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