At a county fair truck pull two pickup trucks are attached t

At a county fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One of the pickups pulls with a force of 3500 pounds and the other pulls with a force of 1000 pounds with an angle of 45 angle between them. With how much force must the monster truck pull in order to remain unmoved? The monster truck must pull with approximately pounds of force. (Round to the nearest hundred pounds as needed.)

Solution

calculating force along x direction

Fx = 1000 + 3500 cos 45

Fx = 3474.8737

calculating force along y direction

Fy = 3500 sin 45

Fy = 2474.8737

resultant force = sqrt ( Fx^2 + Fy^2 )

= sqrt ( 3474.8737^2 + 2474.8737^2 )

= 4266.12

the monster truck must pull with approximately 4266.12 pounds