Question

Find the magnitude of two like parallel forces acting at a distance of 1m apart whose resultant force is 300N acting at a distance of 200mm from one of the force

Answer 1

Answer:

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Answer 2

Answer:

The magnitude of forces are  $60 N$and $240 N$.

Explanation:

• In the case of like parallel forces, the resultant force is the sum of two forces.
• When the moment is calculated about the resultant force it comes out to be zero.

The formula for the moment force:

$F1 * r1 + F2 * r2=0$

where  $F1,F2$  are the like forces

           $r1,r2$  are the distances.

Step 1:

Let two parallel forces are  $F1$ and $F2$ .

Given the resultant force of value $300$ $N$.

So, $F1 + F2= 300 N$

Step 2:

Taking moment about resultant force we get:

$F1 * 200 - F2 *800=0$

$F1=4*F2$

Substitute it in the above equation we get:

$4*F2 +F2=300N$

$5 * F2=300N$

$F2=60$ N

$F1=300-60=240$ N

So, like parallel forces have values of  $60 N$and $240 N$.