Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. If the line of action of the resultant is 6 m… — Answer & Discussion

Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. If the line of action of the resultant is 6 mm from any given force, the two forces are

A15 N and 5 N
B20 N and 5 N
C15 N and 15 N
Dnone of these

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Discussion 1

CCommunity25 Oct 2021

Solution:

Given:

There are like two parallel forces acting on each other and the resultant force is 20N.

So, F1 + F2 = 20N ---------> 1

The two forces are at a distance of 24mm from each other and the resultant is 6mm away from one of the forces.

So, F1(24- 6) - F2(6) = 0

18F1 - 6F2 = 0

18F1 = 6F2

F1/F2 = 6/18

F1 : F2 = 1 : 3

So, F1 = F2/3

Eqn1 => F2/3 + F2 = 20

F2 + 3F2 = 20 × 3

4F2 = 60

F2 = 60/4

F2 = 15N

F1 = 15/3

F1 = 5N

So, the correct option is 1). 15N and 5N