PLEASE SEE IMAGE BELOW 7.2) determine the reaction force and tension in cable 7.

Question

PLEASE SEE IMAGE BELOW

7.2) determine the reaction force and tension in cable
7.3)determine the tension in cable and the reaction force
7.4)solve 7.2 cosidering the weight

7.2 For the structure below, determine the reaction forces at C and the tension in cable AB if 130 N) P 65 N. (Ans. Cx 130 N, C 65 N, AB 45 7.3 The beam below weighs 250 N and is pinned at point O. Determine the tension in cable AB and the reaction forces at O for the loading shown. (Ans. Or 824.56 N, O 125.00 N, TAB 877.19 N) 20 12 m 175 N 7.4 Solve Problem 7.2 considering the weight of member CD to be 125 N. (Ans. T 255 N, C 255 N, C 190 N)

Explanation / Answer

7.2)

since the rod is in equilibrium

sum of all vertical forces and horizontal forces = 0

sum of the vertical forces = 0

Cy = P = 65 N

Sum of the horizontal forces = 0

Cx = TAB

Net torque acting on the rod about the point B = 0

formula for torque is T = r*F*sin(theta)

-Cy*sin(45)*2 + 2*Cx*sin(45) - 2*P*sin(45) = 0

(-65*sin(45)*2) + (2*Cx*sin(45)) - (2*65*sin(45)) = 0

Cx = 130 N

so Cx = TAB = 130 N

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