A uniform square plate ABCD has mass M ...

A uniform square plate ABCD has mass M side length `a`. It is sliding on a horizontal smooth surface with a velocity of`vec(v) = v_(0) (4 hat(i) + 2 hat(j))`. There is no rotation. Vertex A of the plate is suddenly fixed by a nail. Calculate the velocity of centre of the plate immediately after this

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The correct Answer is:

`v_(c) = (3v_(0))/(4) (hat(i) - hat(j))`

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