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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

A

`v_(0) ( 2 hat(i) + 4 hat( j))`

B

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

C

`(3v_(0))/(2) hat(i) - ( 3v_(0))/( 2) hat(j)`

D

`3v_(0)hat(i) - 3v_(0)hat(j)`

Text Solution

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The correct Answer is:
B
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