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As shown, an L-shaped bar is supported by a pin at joint A . The bar\'s dimensio

ID: 1320611 • Letter: A

Question

As shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are a = 700mm and b = 370mm , and the bar is subjected to a force with magnitude F = 5.95kN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle ??

As shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are a = 700mm and b = 370mm , and the bar is subjected to a force with magnitude F = 5.95kN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle ??

Explanation / Answer

Here , let angle be t

then , for balancing the torque about A

F*cos(t)*b - F*sin(t)*a = 0

Now ,

tan(t) = b/a

tan(t) = 370/700

t = 27.9 degree

the value of the angle is 27.9 degree