Two forces of 10 newton and 20 newton act on a body making an angle 30 and 60 degree with x axis respectively.what is the resultant force
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Subject:
Music -
Author:
kiwimonroe -
Created:
1 year ago
Answers 1
Answer:
Two forces of magnitude F1= 10N and F2 =20N act on a body in a direction making angle a = 30 and b = 60 degrees respectively with the x-axis. Thus the resultant force Fr acting on the body is given by,
Fr = i (F1 cos a + F2 cos b) + j ( F1 sin a + F2 sin b)
= i ( 10 cos 30 + 20 cos 60) + j ( 10 sin 30 + 20 sin 60).
= i { 10 x (√3/2) + (20 /2)} + j { (10/2)+ 20 x(√3/2)}
= i (5 √3 + 10) + j (5 + 10√3) N
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