two people are pulling on a stubborn mule. Assume that F 1 is 130 N, and F 2 is

Question

two people are pulling on a stubborn mule. Assume thatF1 is 130 N, andF2 is 80 N. Theforces are measured in units of newtons (N). (a) Find the single force that is equivalent to the two forcesshown (magnitude (N) and direction (degrees)) (b) Find the force that a third person would have to exert onthe mule to make the net force equal to zero (magnitude (N) anddirection (degrees)) two people are pulling on a stubborn mule. Assume thatF1 is 130 N, andF2 is 80 N. Theforces are measured in units of newtons (N). (a) Find the single force that is equivalent to the two forcesshown (magnitude (N) and direction (degrees)) (b) Find the force that a third person would have to exert onthe mule to make the net force equal to zero (magnitude (N) anddirection (degrees))

Explanation / Answer

F1=130N F2=80N F1x = 130cos(60) = 65N F1y = 130sin(60) = 112.583N F2x = -80cos(75) = -20.5N F2y = 80sin(75) = 77.3N adding like components together, we get.. F1x + F2x= FRx =65.0 - 20.5 = 44.5N F1y + F2y = FRy =112.583+ 77.3 = 189.883 N now we just take the norm of the two vectors to get ourmagnitude. FR = ((FRx)2+(FRy)2) =(44.52+189.8832) =195.03 N for direction, we take the tangent of the angle of the yand x components of the resultant vector and we get.. tan = y / x = tan-1(189.883 /44.5) = 76.811o from the positivex-axis. = tan-1(189.883 /44.5) = 76.811o from the positivex-axis.

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