a
To forces of 12N and 5N are acting on
particle, with an angle 60 between them.
Calculate
resultant
forces
Answers
Answered by
15
Given :
➳ Two forces of magnitude 12N and 5N are acting at an angle of 60°.
To Find :
➔ Resultant force acting on the particle.
SoluTion :
➝ By traingle law or parallelogram law of vector addition, the magnitude of resultant force F at two forces A and B inclined to each other at angle Φ, is given by
✭ F² = A² + B² + 2AB cosΦ
⇒ F² = A² + B² + 2AB cosΦ
⇒ F² = (12)² + (5)² + 2(12)(5) cos60°
⇒ F² = 144 + 25 + (120 × 1/2)
⇒ F² = 169 + 60
⇒ F² = 229
⇒ F = √229
⇒ F = 15.1 N
Answered by
11
Given ,
The forces of 12N and 5N are acting on particle, with an angle 60 between them
We know that ,
The resultant b/w two vectors "a" and "b" is given by
Thus , the resultant force " r " will be :
Therefore ,
- The resultant force is 15.1 Newton
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