two force acting on particale are perpendicular to each other and have
magnitude 3N & 4N . find magnitude and the direction of the resultant force on the particle.
( Note : give hole ans)
Answers
Answered by
1
Answer:
The Resultant of vectors perpendicular to each other can be solved in two ways:
Method one: Pythagoras Theorem
a2 + b2 = c2
In the case of vectors c is replaced by the resultant R
a2 + b2 = R2
3^2 + 4^2 = R2
9 + 16 = R2
25 = R2
R = 5N
Method two: cosine rule
R2 = a2 + b2 + 2*a*b*cosα
Where R is resultant and α represents the angle between vectors a and b.
R2 = 3^2 + 4^2 + 2*3*4*cos90
R2 = 9 + 16 + 0
R2 = 25
Take the square root of both sides
R = 5N
Similar questions