use the component method to add the following vectors F_1 and F_2. Vector F_1 ma

Question

use the component method to add the following vectors F_1 and F_2. Vector F_1 makes an angle of 20 degrees with respect ot the positive direction of the x-ais. it represents the weight due to a 100-g mass. Vector F_2 makes an angle of 150 degrees with respect to the positive direction of the x-axis and represents the weight due to a 150-g mass. caluculate both magnitude and direction of the resultant force F_R. determine both magnitued and the direction of the equilibrant force F_3 (that is, the force which balances the resultant force) use the graphical method (head to tail drawing) to find the resultant and equilibrant forces.

Explanation / Answer

F1=100g    1=20

F1x=100gcos20 =93.96g Fy=100gsin20=34.20g

F2=150g   2=150

F2x=150gcos150 =-129.9g    Fy=150gsin150=75

a)Fx=100gcos20+150gcos150=-35.94g

Fy=100gsin20+150gsin150=109.2g

F=Fx^2+Fy^2=114.96g

=tan^-1(Fy/Fx)=-71.78

b)-F3=F1+F2=

F3=-F

F3=114.96g   

F3x=35.94g

F3y=-114.96g

3=71.78

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