Two forces of 5n and 12n respectively act on the same piun.Show how you would determine the magnitude of the resultant by using the tail to head and tail to tail method and Pythagoras theorem(13n)
To determine the magnitude of the resultant force using the tail to head method, follow these steps:
1. Draw a vector representing the first force of 5N.
- Label the beginning of the vector as the tail and the arrowhead as the head.
2. Draw a vector representing the second force of 12N.
- Place the tail of this vector at the head of the first vector.
3. Draw a vector starting from the tail of the first vector and ending at the head of the second vector.
- This vector represents the resultant force.
4. Measure the length of the resultant vector using a ruler.
- The length of the vector represents the magnitude of the resultant force.
By using the tail to tail method, follow these steps:
1. Draw a vector representing the first force of 5N.
- Label the beginning of the vector as the tail and the arrowhead as the head.
2. Draw a vector representing the second force of 12N.
- Label the beginning of the vector as the tail and the arrowhead as the head.
3. Join the head of the first vector to the tail of the second vector.
- This line represents the resultant force.
4. Measure the length of the resultant line using a ruler.
- The length of the line represents the magnitude of the resultant force.
To determine the magnitude of the resultant force using the Pythagorean theorem, follow these steps:
1. Consider the two given forces, 5N and 12N, as the side lengths of a right-angled triangle.
- The first force will be one side of the triangle, and the second force will be the other side.
2. Square each side length.
- (5N)^2 = 25N^2
- (12N)^2 = 144N^2
3. Add the squared side lengths together.
- 25N^2 + 144N^2 = 169N^2
4. Take the square root of the sum to get the magnitude of the resultant force.
- √(169N^2) = 13N
Therefore, using the Pythagorean theorem, the magnitude of the resultant force is 13N.