The figure shows a top view of him looking down on the crate (gravity would act on the page). Man 1 and Man 2 apply forces F1 and F2, at angles of θ1 and θ2 respectively, to move the crate in the x direction. A resultant force of Fr = 29.5 pounds in the x direction is needed to do this. All forces are in the xy plane. If Man 1 applies a force of F1 = 18.5 lbs at an angle of θ1 = 17° from the positive x-axis, follow these steps to determine the magnitude and angle of the force that Man 2 must apply.
(a) Write an expression for Fr once the crate starts to move using the sum of forces in the x direction as a function of variables F1, F2, θ1 and θ2.
(b) Write an equation for the sum of forces in the y direction when the crate starts to move using the specified coordinate system. Put your answer according to the variables F1, F2, θ1 and θ2.
(c) Combine these two equations to develop an expression for tan(θ2) as a function of Fr, F1, F2, and θ1. Remember that the box does not move in the y direction.
Any help would be greatly appreciated!