Question: The moment of inertia of a composite body can be calculated using which theorem?
Options:
Pythagorean theorem
Parallel axis theorem
Perpendicular axis theorem
Conservation of energy
Correct Answer: Parallel axis theorem
Solution:
The moment of inertia of a composite body can be calculated using the parallel axis theorem.
The moment of inertia of a composite body can be calculated using which theorem?
Practice Questions
Q1
The moment of inertia of a composite body can be calculated using which theorem?
Pythagorean theorem
Parallel axis theorem
Perpendicular axis theorem
Conservation of energy
Questions & Step-by-Step Solutions
The moment of inertia of a composite body can be calculated using which theorem?
Step 1: Understand what moment of inertia is. It measures how difficult it is to rotate an object around an axis.
Step 2: Know that a composite body is made up of multiple shapes or objects.
Step 3: Learn about the parallel axis theorem. It states that if you know the moment of inertia of a shape about its own center of mass, you can find the moment of inertia about a different axis parallel to it.
Step 4: Apply the parallel axis theorem to each part of the composite body to find their individual moments of inertia.
Step 5: Add all the individual moments of inertia together to get the total moment of inertia for the composite body.
Moment of Inertia – A measure of an object's resistance to rotational motion about an axis.
Composite Body – An object made up of multiple simpler shapes, each with its own moment of inertia.
Parallel Axis Theorem – A theorem that allows the calculation of the moment of inertia of a composite body by adding the moment of inertia of individual parts and adjusting for their distance from the axis of rotation.
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