Question

If the greatest and the least resultant of two forces acting at a point are 6 kg wt and 2 kg wt. Find the forces of the angle between them is 30°

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Answer 1

Answer:

Let A and B be the two forces,

Greatest resultant =A+B=10 ... (i)

Least resultant =A−B=6 ... (ii)

Solving (i) and (ii), we get, A=8N and B=2N.

When each force is increased by 3N then

A

′

=A+3=8+3=11N, then

B

′

=B+3=2+3=5N

As the new forces are acting at an angle of 90

o

(i.e., θ=90

o

)

So R

′

=

A

′2

+B

′2

=

(11)

2

+(5)

2

=

146

N