In the diagram below, rod AB with a fixed length as shown, rotates about the fix
ID: 1829065 • Letter: I
Question
In the diagram below, rod AB with a fixed length as shown, rotates about the fixed point A with no friction and with the angular velocity, ?, in the counter- clockwise direction and with the angular acceleration, ?, in the clockwise direction as shown. Determine the velocity and acceleration vectors of point B.
In the diagram below, rod AB with a fixed length as shown, rotates about the fixed point A with no friction and with the angular velocity, ?, in the counter- clockwise direction and with the angular acceleration, ?, in the clockwise direction as shown. Determine the velocity and acceleration vectors of point B.Explanation / Answer
Taking right side as positive x-axis and upward as positive y-axis
Velocity of point B= rw=3*10= 30 m/s
Velocity of point B=-30/2^0.5i + 30/2^0.5 j = -21.21 i + 21.21 j
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Centripetal accelearation of B=rw^2=3*100=300 m/s^2
=-300/2^0.5i - 300/2^0.5 j =-212.1 i - 212.1 j
Tangential accelaration of B=r*alpha=3*5=15 m/s^2
=+15/2^0.5i - 15/2^0.5 j =+10.6i -10.6 j
Total accelaration =-201.5 i -222.7 j
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