FOUR physic question: Question 3, chap 103, sect 7. part 1 of 210 points Conside

Question

FOUR physic question:

Question 3, chap 103, sect 7. part 1 of 210 points Consider four vectors F, F2, F3, and 4, where their magnitudes are Fi - 59 N, 160°, :3-22°, and 4--60°, measured from the positive x axis with the counter-clockwise angular direction as positive What is the magnitude of the resultant vec- tor F, where F- Fi F2 + F3 + F4 Answer in units ofN Question 4, chap 103, sect 7. part 2 of 210 points What 1s the direction of this resultant vec - tor F? Note: Give the angle in degrees, use coun- terclockwise as between the limits of -180° and +180° fronm the positive x axis Answer in units of° the positive angular directio n,

Explanation / Answer

F = F1 + F2 + F3 + F4

F = (59 cos130 + 31 cos(-160) + 17 cos22 + 48 cos(-60))i + ( 50 sin130 + 31 sin(-160) + 17 sin22 + 48 sin(-60)) j

F = - 27.3i - 7.50

3. magnitude = sqrt(27.3^2 + 7.50^2)

= 28.3 N

4. angle = - 180 + tan^-1(7.50 / 27.3) = - 165 deg

5. F = - 64.1 i - 17.5j

magnitude = 66.4 N  

6. angle = - 180 + tan^-1(17.5 / 64.1)

= - - 165 deg

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