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A disc of radius R is placed on a square...

A disc of radius R is placed on a square plate of edge 4R made up of the same sheet with their planes parallel such that any two adjacent sides ofsquare touch the disc. Find the distance of the centre of mass of the system from the centre of square plate?

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To find the distance of the center of mass of the system (disc + square plate) from the center of the square plate, we can follow these steps: ### Step 1: Define the system We have a disc of radius \( R \) and a square plate with an edge length of \( 4R \). The disc is placed such that it touches two adjacent sides of the square plate. ### Step 2: Determine the areas - **Area of the square plate**: \[ ...
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