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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 (a disc placed on a square plate) from the center of the square plate, we can follow these steps: ### Step 1: Understand the Geometry - The square plate has an edge length of \(4R\). - The disc has a radius of \(R\). - The disc is positioned such that its edges touch two adjacent sides of the square. ### Step 2: Determine the Coordinates of the Centers ...
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