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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