GATE XE 2022 XE-D Q70: Mechanics of rigid bodies

End

of the 2 m long rigid rod

is constrained to move horizontally in the slot shown in the figure and has a velocity of 1.0

m/s. The angular velocity of the rod at the instant shown is 2 rad/s. The unit vectors along

and

directions are denoted respectively as

and

. The velocity of point

in m/s is then given by

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