Tha forces of 4N acts on a body at an angle of 60 degree. find magnitude and direction of the resultant force acting on the body
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Explanation:
your answer is
Given, two force act on a body at angle 60°, exact force is equal to 4 N
so, magnitude of resultant force is -- 42 +42 +2 x 4 x 4 cos(60) 16+ 16 + 32 × = √32 + 16 2
= √48 = 4√3newton
now, let angle between resultant force and vector force is Ø
now,
tan Ø =
4 sin(60)
4 + 4 cos(60)
2√3 6
√3 3 1 √3
ANSWER
So, Ø = 30°
now, let angle between resultant force and vector force is Ø
now,
tan Ø = 4 sin(60) 2√3 4 + 4 cos (60) 6 1 √3 3
So, Ø = 30°
hence, resultant force is 30° from forces 4N
hope it help you
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