Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 month ago

Three forces with magnitudes of 54 pounds, 91 pounds, and 126 pounds act on an object at angles of 30°, 45°, and 120°.?

Three forces with magnitudes of 54 pounds, 91 pounds, and 126 pounds act on an object at angles of 30°, 45°, and 120° respectively, with the positive x-axis. Find the direction and magnitude of the resultant force. (Round your answers to one decimal place.)

1 Answer

Relevance
  • NCS
    Lv 7
    1 month ago
    Favorite Answer

    Rx = (54*cos30º + 91*cos45º + 126*cos120º) lb = 48.11 lb

    Ry = (54*sin30º + 91*sin45º + 126*sin120º) lb =200.47 lb

    direction Θ = arctan(Ry/Rx) = 76.5º ◄

    magnitude R = √(Rx² + Ry²) = 206.2 lb ◄

    If you find this helpful, please select Favorite Answer!

Still have questions? Get your answers by asking now.