3. Consider a vortex filament of strength in the shape of a closed circular loop of radius R. Obtain an expression for the vel
ocity induced at the center of the loop in terms of and R, no other variables. Tip: Draw the loop on your page. If the vortices on the filament curve inward over the top of the loop, then the velocity vector points into the page, and vice-versa. Draw your vectors (dl and r) clearly to ensure you get the sign of the velocity vector correct. Your result will be a vector
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Answer:
Tension in cable BE= 196.2 N
Reactions A and D both are 73.575 N
Explanation:
The free body diagram is as attached sketch. At equilibrium, sum of forces along y axis will be 0 hence
hence
Therefore, tension in the cable,
Taking moments about point A, with clockwise moments as positive while anticlockwise moments as negative then
Similarly,
Therefore, both reactions at A and D are 73.575 N
