Question

Q.15)
If three concurrent forces A, B and C are acting
at a point and the angle between each force is
1200. If force B = 10 N then the value of force A
and force C

is respectively. (1 marks )​

Answer 1

Answer:

A=C=10N if equivalent force at that point is 0N

Answer 2

The value of force exerted by A and C respectively is 10N and 10N.

Step-by-step process

Given:

The angle between each force= 120°

Force exerted by point B= 10N

The points are concurrent

To find:

The value of force exerted by A and C respectively

According to Lami's theorem:

C/sin a = B/sinb = A/ Sin c

since a = b = c = 120°

C/sin120 = 10/sin120

C= 10 x √3/ 2 ÷√3/2

so, Force exerted by C = 10N

Now, using following equation:

B/sinb = A/ Sin c

10/ sin120 = A/ Sin 120

A= 10 x √3/ 2 ÷√3/2

So, Force exerted by A = 10N

Result

The value of force exerted by A and C respectively is 10N and 10N.