Two forces of 5N and 12N respectively act on the same point. Show how you would determine the magnitude of the resultant by using the tail to head and tail to tail methods and pythagoras theorem
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Two Forces of 5N and 12N respectively act on the same point.Show how you would determine the magnitude of the resultant by using the tail to head and tail to tail method and pythagoras Theorem
To determine the magnitude of the resultant using the tail to head method, follow these steps:
1. Draw a vector with a length of 5N (representing the first force) starting from a point on the paper. This is the "tail" of the vector.
2. From the tip of the first vector, draw another vector with a length of 12N (representing the second force). This becomes the "head" of the first vector and the "tail" of the second vector.
3. Connect the tail of the first vector to the head of the second vector to form a triangle.
4. Measure the length of the diagonal line connecting the tail of the first vector to the head of the second vector. This diagonal line represents the magnitude of the resultant force.
5. Use a ruler or a measuring tape to find the length of the diagonal line accurately.
6. The length of the diagonal line is the magnitude of the resultant force.
To determine the magnitude of the resultant using the tail to tail method, follow these steps:
1. Draw a vector with a length of 5N (representing the first force) starting from a point on the paper. This is the "tail" of the vector.
2. Draw another vector with a length of 12N (representing the second force) starting from a different point.
3. Connect the tails of both vectors to form a triangle.
4. Measure the length of the side opposite to the angle between the two vectors. This side represents the magnitude of the resultant force.
5. Use a ruler or a measuring tape to find the length of the side accurately.
6. The length of the side opposite to the angle between the two vectors is the magnitude of the resultant force.
To determine the magnitude of the resultant using the Pythagorean theorem, follow these steps:
1. Square the magnitude of the first force (5N) and the magnitude of the second force (12N).
(5N)² = 25N²
(12N)² = 144N²
2. Add the squared magnitudes of both forces together.
25N² + 144N² = 169N²
3. Take the square root of the sum calculated in step 2.
√(169N²) = 13N
The magnitude of the resultant force is 13N.