The three stooges Precalculus

Question

The three stooges (Larry, Curly and Moe) are trying to move a piano. Larry applies a force of 700 N [S 60° W], Moe applies a force of 900 N [N 30° E], and Curly applies a force of 1000 N [S 45° E]. a) Draw a position diagram for the piano. b) Draw a vector diagram for the piano. c) Calculate the resultant force, and express it as a magnitude and direction. d) Calculate the equilibrant force.

Answer 1

The forces are (in N):

-700Cos(30°)X -700Sin(30°)Y +900Sin(60°)X + 900Cos(30°)Y +1000Sin(45°)X -1000Cos(45°)Y

= 550.9X - 277.4Y = 616.9N at angle -26.9° Resultant Force

Can't draw the diagram.

The opposite Equilibrium force is then 616.9N at an angle 26.9° + 90° = 616.9N at an angle of 116.9°