two forces 5N and 7N act on an object respectively.When will the resultant of the two vectors be at a maximum?
when they are parallel, and thus add up completely.
To find the maximum resultant of two forces, we can use the concept of vector addition. The resultant of two vectors is maximum when they are in the same direction.
Let's denote the magnitudes of the forces as F1 = 5N and F2 = 7N.
Now, we need to consider two scenarios:
Scenario 1: When the forces are acting in the same direction.
In this case, the forces will add up to produce the maximum resultant.
Resultant = F1 + F2 = 5N + 7N = 12N
Scenario 2: When the forces are acting in opposite directions.
In this case, the forces will subtract, resulting in a smaller resultant.
Resultant = F2 - F1 = 7N - 5N = 2N
Therefore, the maximum resultant of forces 5N and 7N will occur when they are acting in the same direction.
It is important to note that the direction of the forces is crucial in determining the maximum resultant. In this case, we have assumed that the forces are collinear, acting along the same line.