Forces of 20 N at 80 degrees, and 50 N at an angle of 210 degrees, measured counter-clockwise from the positive x-axis, act on an object.
What are the components (Fx, Fy) of the resultant force (in Newtons)?
To find the components (Fx, Fy) of the resultant force, we need to use trigonometry.
First, let's convert the given angles to radians.
Angle of 80 degrees in radians = 80 * (π/180) = 4π/9
Angle of 210 degrees in radians = 210 * (π/180) = 7π/6
Next, we can use the trigonometric functions to find the x and y components of each force.
For the force of 20 N at an angle of 80 degrees:
Fx1 = 20 N * cos(4π/9)
Fy1 = 20 N * sin(4π/9)
For the force of 50 N at an angle of 210 degrees:
Fx2 = 50 N * cos(7π/6)
Fy2 = 50 N * sin(7π/6)
Finally, we can find the components of the resultant force by adding the x and y components of each force:
Fx = Fx1 + Fx2
Fy = Fy1 + Fy2
Substituting the values, we can calculate the components of the resultant force (Fx, Fy).