Question

Statics Note: Use g = 9.81 m/s when required. 3. Consider the vector A whose magnitude is 12 m. (a) Express A in terms of its Cartesian components. (4) (b) Hence calculate the angles that A makes with the pos- itiver and y axes. (2) 400

Answer 1

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Solnes Here g=9.81 m/s2 30 0 У 40 X above we can get the below (a) T from the ch fig as follows AN 30 Here 0 A cos 30 An Hore on alam Az 12 Cos 30 Az 10.392 m = A Sim 30° Any Any Any = {& Simso" 6m TAY 4o Aa Aray

Ax= Axy costo 6 cos 40 Axt Ax 4.596m Ay Any Smyoo Aray Sinyo" Ay Ay 6 Sin you 3-8 57 m Anit Ayd + AB A = 4.5961 +3.8573 +10-392M Gat cartesian Components makes tve Angle A x & y axes =#3 Ox = cos Ane पी 12 Op = cos 4.596 Os = 67.59 Oy = cost Ay cast 3.857 la 71-31 A e ។