Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, a

Question

Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in Figure 4-46. The sum of the forces FA and FB exerted on the unit by the horizontal cables is parallel to the line L, and FA = 4300 N. Determine FB and the magnitude of FA + FB

FB_____________N

FA + FB_________N

Two snowcats tow a housing unit to a new location at McMurdo Base, Antarctica, as shown in Figure 4-46. The sum of the forces FA and FB exerted on the unit by the horizontal cables is parallel to the line L, and FA = 4300 N. Determine FB and the magnitude of FA + FB FB_____________N FA + FB_________N

Explanation / Answer

FA = 4300 N from figure , FA sin 50 = FB sin 30 magnitude of FB = FA sin 50 / sin 30                           = 4300 * sin50 / sin 30                           = 6587.98 N magnitude of FA+FB is = FA cos 50 + FB cos 30                                      = 2763.98 N + 5705.35 N                                      = 8469.33 N

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