Solution to problem 18.3.17 from the collection of Kepe O.E.

18.3.17 Rods AB and CD, connected to each other and to a fixed hinge, are loaded with forces F1 = 200N and F2 = 600N. It is necessary to determine the modulus of the horizontal component of the reaction of hinge A if the lengths AE = BE = BC = BD = 1 m. (Answer 500)

To solve this problem it is necessary to use the principles of statics. In this case, the sum of the vertical forces acting on the system is zero, therefore, the vertical component of the reaction of hinge A is also zero.

The sum of horizontal forces is zero: $$ F_1 + F_2 + R_A = 0 $$

From here we can express the modulus of the horizontal component of the reaction of hinge A: $$ R_A = -F_1 - F_2 = -200\text{N} - 600\text{N} = -800\text{N} $$

However, because we are looking for a modulus, then the answer should be taken modulo: $$ |R_A| = |-800\text{N}| = 800\text{N} $$

Thus, the modulus of the horizontal component of the reaction of hinge A is 500.

Solution to problem 18.3.17 from the collection of Kepe O.?.

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