Two forces of 5N and 12N respectivley act on the same point. Show how you would determine the Magnitude of the resultant by using the Tail to head and Tail ti Tail methods and pythagoras theoram (13N)
To determine the magnitude of the resultant force using the Tail to Head and Tail to Tail methods, as well as the Pythagorean theorem, you can follow these steps:
1. Tail to Head Method:
- Draw a line to represent the first force of 5N from the tail of an origin point.
- Draw a line to represent the second force of 12N from the head of the first force.
- The line starting from the tail of the origin point and ending at the head of the second force represents the resultant force.
- Measure the length of the resultant line using a ruler.
2. Tail to Tail Method:
- Draw a line to represent the first force of 5N from the tail of an origin point.
- Draw a line to represent the second force of 12N from the tail of the origin point.
- The line starting from the head of the first force and ending at the head of the second force represents the resultant force.
- Measure the length of the resultant line using a ruler.
3. Pythagorean Theorem:
- Calculate the square of the magnitude of the first force (5N) by squaring the value (5N x 5N = 25N^2).
- Calculate the square of the magnitude of the second force (12N) by squaring the value (12N x 12N = 144N^2).
- Add the squares of the magnitudes of the two forces (25N^2 + 144N^2 = 169N^2).
- Take the square root of the sum to find the magnitude of the resultant force (sqrt(169N^2) = 13N).
Therefore, by using the Tail to Head and Tail to Tail methods, as well as the Pythagorean theorem, you would determine that the magnitude of the resultant force is 13N.