A uniform rod of length \( 2 \mathrm{~m} \). Velocity of point \( B \) is \( 10 \mathrm{~m} / ...

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A uniform rod of length \( 2 \mathrm{~m} \). Velocity of point \( B \) is \( 10 \mathrm{~m} / \mathrm{s} \) as shown in figure and angular velocity of rod is \( 7 \mathrm{rad} / \mathrm{s} \). Then
(1) Velocity of point \( A \) is \( 10 \mathrm{~m} / \mathrm{s} \) at an angle of \( 53^{\circ} \) with rod
(2) Velocity of point \( A \) is \( 10 \mathrm{~m} / \mathrm{s} \) at an angle of \( 37^{\circ} \) with rod
(3) Velocity of point \( A \) is \( 6 \mathrm{~m} / \mathrm{s} \) perpendicular to the \( \operatorname{rod} \)
(4) Velocity of point \( A \) is \( 8 \sqrt{2} \mathrm{~m} / \mathrm{s} \) at an angle of \( 45^{\circ} \) with rod
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