two forces 3N and 4N are acting on a point O. if an angle between there 2 forces is 90°, find the resultant of there two forces.
Answers
Answered by
15
HELLO HERE IS YOUR ANSWER .
FORCE 1 =3N
FORCE 2 =4N
ANGLE =90°
FORMULA FOR RESULTANT
R =√A^2+B^2+2AB COS THETA
R =√3^2 +4^2 +0 : COS 90° =0
R=√9+16
R=5N .
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FORCE 1 =3N
FORCE 2 =4N
ANGLE =90°
FORMULA FOR RESULTANT
R =√A^2+B^2+2AB COS THETA
R =√3^2 +4^2 +0 : COS 90° =0
R=√9+16
R=5N .
HOPE IT HELPS . PLS MARK IT AS BRAINLIEST
Answered by
2
Given,
2 forces 3N and 4N are acting on a point O.
The angle between the 2 forces = 90°
To find,
The resultant of these two forces.
Solution,
We can simply solve this numerical problem by using the following process:
Mathematically,
If 2 forces of magnitude X and Y are acting on a point and the angle between them is A°, then,
The resultant force
= √(X^2 + Y^2 + 2XY.Cos A°)
Now, according to the question;
The resultant of these two given forces
= √{(3N)^2 + (4N)^2 + 2(3N)(4N). Cos 90°}
{according to statement-1}
= √{9 N^2 + 16 N^2 + 2(3N)(4N)×0}
{Since Cos 90° = 0}
= √(25 N^2)
= 5 N
Hence, the resultant of these two given forces is equal to 5N.
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