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What is the formula of theorem of parallel axis?
- a)IAD = IG + Ah
- b)IAB = Ah2 + IG
- c)IAB = IG – Ah2
- d)IAB = IG + Ixx
Correct answer is option 'B'. Can you explain this answer?
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What is the formula of theorem of parallel axis?a)IAD = IG + Ahb)IAB =...
Formula of Theorem of Parallel Axis:
The formula of the theorem of parallel axis is given by:
IAB = IG + A*h2
where:
- IAB is the moment of inertia of an object about an axis parallel to the center of mass.
- IG is the moment of inertia of the object about its center of mass.
- A is the mass of the object.
- h is the distance between the parallel axis and the center of mass.
Explanation:
- The theorem of parallel axis states that the moment of inertia of a rigid body about any axis parallel to an axis passing through the center of mass is equal to the sum of the moment of inertia about the center of mass and the product of the mass of the object and the square of the distance between the two axes.
- This theorem is useful in calculating the moment of inertia of complex objects that cannot be easily calculated using simple geometric shapes.
- By using this formula, engineers and physicists can determine the distribution of mass in an object and predict its rotational behavior accurately.
In conclusion, the formula of the theorem of parallel axis is a crucial tool in the study of rotational motion and mechanics, allowing for the calculation of moment of inertia about parallel axes.
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What is the formula of theorem of parallel axis?a)IAD = IG + Ahb)IAB =...
The theorem of parallel axis states that if the moment of inertia of a plane area about an axis in the plane of area theough the C.G. of the plane area be represented by IG, then the moment of the inertia of the given plane area about a parallel axis AB in the plane of area at a distance h from the C.G. is given by the formula IAB = Ah2 + IG.
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