Two forces vecF_1=hati+5hatj and vecF_2=3hati-2hatj act at points with two position vectors respectively hati and -3hati +14hatj How will you find out the position vector of the point at which the forces meet?
2 Answers
Explanation:
The support line for force
where
Analogously for
where
The intersection point or
and solving for
so
Explanation:
Given
"The 1st force " vecF_1=hati +5hatj "The 2nd force " vecF_2=3hati -2hatj vecF_1 " acts at point A with position vector " hati vecF_2 " acts at point B with position vector "-3 hati+14hatj
We are to find out the position vector of the point where the two given forces meet.
Let that point where the two given forces meet, be P with
position vector
Now multiplying equation (1) by 3 and adding with equation (2) we get
Inserting the value of x in equation (1)