Asked by sarah
three forces with magnitudes 100, 50, and 80 lb act on an object at angles of 50 degree, 160 degree, and -20 degree respectively. ind the direction and magnitude o the resultant force.
Answers
Answered by
Reiny
express each as a vector in component form
magnitude 100,direction 50
= (100cos50, 100sin50) = (64.279 , 76.604)
mag50,direction160
= (-8.682 , 17.101
mag80, direction -20
= ( 75.175 , -27.361)
add up the 3 vectors
= (130.772 , 66.344)
magnitude = √(x^2 + y^2) = 146.638
direction :
tan Ø = 66.344/130.772
Ø = 26.9° or 333.1°
but my sketch showed the resultant to be in the first quadrant, so
Ø = 26.9°
magnitude 100,direction 50
= (100cos50, 100sin50) = (64.279 , 76.604)
mag50,direction160
= (-8.682 , 17.101
mag80, direction -20
= ( 75.175 , -27.361)
add up the 3 vectors
= (130.772 , 66.344)
magnitude = √(x^2 + y^2) = 146.638
direction :
tan Ø = 66.344/130.772
Ø = 26.9° or 333.1°
but my sketch showed the resultant to be in the first quadrant, so
Ø = 26.9°
Answered by
Steve
mag50,direction160 = (-46.985,17.101)
Answered by
ecto
you messed up mag50, direction160
=(-46.984, 17.101
=(-46.984, 17.101
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.