F1of 3,5N acts on an object to the right and F2 of 4,3N acts on an object towards the left
Determine the resultant of forces using an accurate tail-to-head vector diagram.use a scale of 10mm:1N
F1=35mm to the right
F2=43mm to the left
Soo I need help with the resultant vector diagram of F1 and F2
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Just subtract. They are on the same axis.
To determine the resultant of forces using a vector diagram, you'll need to follow these steps:
Step 1: Draw a scale diagram of the forces:
Draw a horizontal line to represent the object, and label it with an arrowhead indicating the rightward direction. Mark a point on the right side of the line as the starting point for the first force (F1 = 3,5N), and another point on the left side of the line as the starting point for the second force (F2 = 4,3N).
Step 2: Measure the length of each force:
Using the given scale of 10mm:1N, measure the lengths of the forces from their respective starting points. The length of F1 should be 10mm × 3,5 = 35mm, and the length of F2 should be 10mm × 4,3 = 43mm.
Step 3: Draw the vectors:
Draw a vector from the starting point of F1 to the right, with a length of 35mm, and label it as F1. Similarly, draw a vector from the starting point of F2 to the left, with a length of 43mm, and label it as F2.
Step 4: Find the resultant vector:
To find the resultant vector, draw a vector from the tail of F1 to the head of F2. This vector represents the sum of F1 and F2, and its length can be measured using a ruler or by estimation.
Step 5: Measure the length of the resultant vector:
Measure the length of the resultant vector using the same scale. Let's assume the length of the resultant vector is 'x' on the diagram. Using the scale of 10mm:1N, the length of the resultant vector in Newtons will be x/10mm.
Step 6: Calculate the actual value of the resultant vector:
Multiply the measured length (x) of the resultant vector in millimeters by the scale factor (10mm:1N) to get the actual value of the resultant force.
In this case, since the forces are acting in opposite directions, the resultant force will be the difference between the magnitudes of the two forces. Therefore, the value of the resultant force will be |F1| - |F2| = 3,5N - 4,3N = -0,8N (negative sign indicates that the force is acting towards the left).
Note: The above steps assume that the angles between the forces are not given. If the angles are given, you would need to use trigonometry to determine the components of the forces and then find the resultant vector.