Question

Two forces, one of 100 ponds and the other 150 pounds act on the same object, at angles of 20°and 60°, respectively, withthe positive x-axis. Find the direction and magnitude of the resultant of these forces.

Answer 1

Choose c idrk hopefully its right

Step-by-step explanation:

Answer 2

Resultant is 235.54 pounds at an angle 44.16° to X axis.

Step-by-step explanation:

Forces are 100 pound and 150 pound and angles with x axis are 20°and 60°.

That is force 1 is 100 pound with x axis at 20°

F₁ = 100 cos 20 i + 100 sin 20 j

F₁ = 93.97 i + 34.20 j

That is force 2 is 150 pound with x axis at 60°

F₂ = 150 cos 60 i + 150 sin 60 j

F₂ = 75 i + 129.90 j

F₁ + F₂ = 93.97 i + 34.20 j + 75 i + 129.90 j

F₁ + F₂ = 168.97 i + 164.10 j

`\texttt{Magnitude = }√(168.97^2+164.10^2)\\\\\texttt{Magnitude = }235.54pounds\\\\\texttt{Angle = }tan^(-1)\left ( (164.10)/(168.97)\right )\\\\\texttt{Angle = }44.16^0`

Resultant is 235.54 pounds at an angle 44.16° to X axis.