Can you please show all work algebrically and draw the free body force diagrams

Question

Can you please show all work algebrically and draw the free body force diagrams for this problem?

Part A Determine Fp Express your answer using two significant figures Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in the figure(Figure 1). The sum of the forces FA and FB exerted on the unit by the horizontal cables is parallel to the line L, and FA 460ON ] Submit Request Answer Figure 1 of 1> Part B Determine the magnitude of FA FB Express your answer using two significant figures 500 30 Submit Request Answer T op view Provide Feedback

Explanation / Answer

here,

a)

eqauating the forces horizontally

Fb * sin(30) - Fa * sin(50) = 0

Fb * sin(30) = 4600 * sin(50)

Fb = 7047.6 N

b)

equating the forces vertically

Fa * cos(50) + Fb * cos(30) = L

L = 4600 * cos(50) + 7047.6 * cos(30)

L = 9060 N

the magnitude of Fa + Fb = L = 9060 N

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