Resolve F1 and F2 into their x and y components. Determine the magnitude of the resultant force

Описание: Resolve F1 and F2 into their x and y components.

Determine the magnitude of the resultant force
and its direction measured counterclockwise from the
positive x axis.














Answer











Given:
Forces F1 and F2 at given angles.

Step 1: Resolve Forces into Components
F1x = F1 * cos(θ1), F1y = F1 * sin(θ1)
F2x = F2 * cos(θ2), F2y = F2 * sin(θ2)

Step 2: Sum Components
ΣFx = F1x + F2x
ΣFy = F1y + F2y

Step 3: Resultant Force Magnitude
R = sqrt((ΣFx)² + (ΣFy)²)

Step 4: Direction of Resultant
θR = atan(ΣFy / ΣFx)

Final Answer:
Resultant Force: R
Direction: θR (measured counterclockwise from +x-axis)