![]() ![]() Problem: Calculate the moment of inertia of a rectangle having sides a and b in respect to an axis passing through the side b considering the figure given below. Question#2 Calculating moment of inertia of rectangle having sides a and b. Now putting the given values in the equation, we obtain: Now, we will substitute values in the parallel axis theorem, we get: H shows the vertical distance, while A is the area of the rectangle. Solution: Using the parallel axes theorem: Problem: Calculate the moment of inertia of a rectangle having a width of 15 mm and depth of 40 mm. Rotational Inertia An obsolete term for rotational inertia is 'moment of inertia,' a term sometimes found in Quest problems. ![]() Moment of Inertia of Rectangle Solved Problems Question#1 Calculating the moment of inertia of rectangle when width and depth are given We will calculate the same in some other blogs. In the same way, other conditions can also be derived. ![]() ![]() Hence, the moment of inertia of rectangle with respect to its base can be written as Now, based on the formula of the moment of inertia, Let us consider a small strip of height dy at y distance from the bottom line (PQ) and need to calculate the moment of inertia of that rectangular section. Once the MI of the small section is able to calculate, it is easy to calculate the moment of inertia of the whole rectangle. Now, we have already learned how to derive the moment of inertia of different components like a rod, sphere, triangle, etc., and understand that it is required to consider one infinitesimal section and find out the moment of inertia of that section. What moment inertia rectangle equation calculation When we take a state of affairs once the axis passes through the center of mass, the instant moment of inertia of a rectangle is given as: Moment of Inertia of Rectangle Associate in Axis Passing through Its center of mass
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