Force F1 of 3.5N on an object to the right and force F2 of 4 .3 acts on the object towards the left.Determine the resultant of the forces using an accurate tail to head vector diagram. Use a scale of 10mm:1N
since they act in opposite directions, just subtract the two magnitudes. The direction of the resultant is that of the larger force.
To determine the resultant of the forces using a vector diagram, we first need to draw the two forces F1 and F2 on a coordinate plane.
1. Start by drawing a line segment to represent F1 of 3.5N, along the positive x-axis, to the right. Label it F1.
2. Next, draw a line segment to represent F2 of 4.3N, along the negative x-axis, to the left. Label it F2.
3. Using a ruler, draw an arrowhead at the end of each line segment to indicate the direction of the force, as per the given information.
4. Now, accurately measure and mark the magnitude of force F1, 3.5N, along the x-axis, starting from the origin. This should be 10mm (representing 1N) to the right of the origin. Label it as 3.5N.
5. Similarly, measure and mark the magnitude of force F2, 4.3N, along the x-axis, starting from the origin. This should be 10mm (representing 1N) to the left of the origin. Label it as 4.3N.
6. Finally, draw a line segment from the origin to the end point of the force vectors F1 and F2. This line segment represents the resultant force, labeled as R.
7. Measure the length of the resultant line segment and convert it to Newtons using the scale of 10mm:1N.
The length of the resultant line segment, when multiplied by the scale of 10mm:1N, will give the magnitude of the resultant force.
To determine the resultant of the forces using a vector diagram, we need to follow these steps:
Step 1: Draw a scale diagram
Using the given scale of 10mm:1N, draw a horizontal line to represent the object. Mark a point on the line as the starting point (tail) for the first force (F1) and another point as the starting point (tail) for the second force (F2).
Step 2: Represent the magnitude and direction of F1
Starting from the tail of F1, draw an arrow to the right with a length of 3.5N/10mm.
Step 3: Represent the magnitude and direction of F2
Starting from the tail of F2, draw an arrow to the left with a length of 4.3N/10mm.
Step 4: Find the resultant vector
To find the resultant vector, we need to place the tail of the second force (F2) at the head of the first force (F1). This means that the tails of both vectors should align.
Step 5: Draw the resultant vector
Starting from the tail of F1, draw an arrow to the head of F2 (which is now at the tail of the resultant vector) with the appropriate length. The length of the resultant vector can be measured using the scale of 10mm:1N.
Step 6: Measure the magnitude and direction of the resultant vector
Using a ruler, measure the length of the resultant vector. Multiply the length by the scale (10mm:1N) to get the magnitude of the resultant force.
The direction of the resultant force can be determined by measuring the angle it makes with the horizontal line. Consider the positive direction as rightwards and negative direction as leftwards.
By following these steps, you'll be able to accurately determine the resultant of the forces F1 and F2 using a vector diagram.