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Sunday, July 7, 2019

Two forces of equal magnitude are represented by two coplanar vectors. One is directed towards the east and the other is directed towards the north.


Question 10
Two forces of equal magnitude are represented by two coplanar vectors. One is directed towards the east and the other is directed towards the north.

What is the direction of a single force that will balance these two forces?
A towards the north-east
B towards the north-west
C towards the south-east
D towards the south-west





Reference: Past Exam Paper – March 2018 Paper 12 Q3





Solution:
Answer: D.


The resultant of the 2 coplanar vectors will be towards the north-east.


The question asks for the force that would BALANCE this resultant force of the 2 vectors above.
 

For balanced forces, the (overall) resultant force should be zero. So, the additional force should be in a direction opposite to the direction of the resultant of the 2 forces (which is towards the north-east) mentioned. So, this new force should be towards the south-west.

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