Question

find the direction of a resultant force given 470.59N as the sum of the x forces, 2078.696 N as the sum of the y forces, and 2131.3 N as the magnitude of the resultant force

Answer 1

To find the direction of the resultant force, use the given x and y components of the forces and the magnitude of the resultant force. The direction of the resultant force is approximately 77.541 degrees above the positive x-axis.

Step-by-step explanation:

To find the direction of the resultant force, we can use the given x and y components of the forces as well as the magnitude of the resultant force. The x component of the resultant force is 470.59 N, and the y component is 2078.696 N. We can use these components to find the angle of the resultant force using the tangent function:

tan(theta) = y/x

theta = tan^(-1)(y/x)

Plugging in the values, we get:

theta = tan^(-1)(2078.696/470.59)

Calculating this value, we find that theta is approximately 77.541 degrees.

Therefore, the direction of the resultant force is approximately 77.541 degrees above the positive x-axis.