(a) Find the resultant of the following coplanar forces acting at point O: 44N in direction 54°, 77N in direction 90°, 60N in direction 146°, 88N in direction 245°. Directions are measured anticlockwise from the positive x-axis.

Question

(a) Find the resultant of the following coplanar forces acting at point O: 44N in direction 54°, 77N in direction 90°, 60N in direction 146°, 88N in direction 245°. Directions are measured anticlockwise from the positive x-axis.                                                    
(b) If y = (x2 – 2x + 5)(3x +2x3) find dy/dx. Do not simplify.

Henry · Answer

a. F = 44N[54o] + 77[90] + 60[146] + 88[245].

X = 44*Cos54+77*Cos90+60*Cos146+88*Cos245 = Sum of hor. components.

Y = 44*sin54+77*sin90+60*sin146+88*sin245 = Sum of ver. components.

Tan A = Y/X, A = ?

Resultant = X/Cos A or Sqrt(X^2+Y^2).