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The helicopter view in the figure shows two people on a stubborn mule. The perso

ID: 1523867 • Letter: T

Question

The helicopter view in the figure shows two people on a stubborn mule. The person on the left pulls with a force vector F_2 of magnitude 104 N and direction of theta_1 = 55.0 degree. The person on the left pulls with a force vector F_2 of magnitude 96, 3 N and direction of theta_2 = 62.0 degree Find the single force that is equivalent to the two forces shown. The forces are measured in units of newtons (symbolized N). Find the force that a third person would have to exert on the mule to make the resultant force equal to zero.

Explanation / Answer

(A) F12 = F1 + F2

= { 104 ( cos55i + sin55j)} + { 96.3 ( -cos62i + sin62j)}


= 14.44i + 170.22 j N


(B) Fnet = F12 + F3 = 0

F3 = - F12

F3 = - 14.44i - 170.22j