Solution Prob. 2–6/7/8 Engineering Mechanics Statics R.C Hibbeler 14th

2–6. Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured clockwise from the positive u axis.

Solution

Diagram Benda Bebas (DBB)

Ans.

Parallelogram Law: The parallelogram law of addition is shown in Fig. a.
Trigonometry. Applying Law of cosines by referring to Fig. b,

Ans:
θ = 1.22

2–7. Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.

Solution

Diagram Benda Bebas (DBB)

Ans.

Parallelogram Law. The parallelogram law of addition is shown in Fig. a,
Trigonometry. Applying the sines law by referring to Fig. b.

Ans:

(F1) v  = 2.93 kN
(F1) u = 2.07 kN

2–8. Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

Solution

Diagram Benda Bebas (DBB)

Ans.

Parallelogram Law. The parallelogram law of addition is shown in Fig. a,
Trigonometry. Applying the sines law by referring to Fig. b.

Ans:

(F2) v  = 6.00 kN
(F2) u = 3.11 kN

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