The greatest and least resultant of two forces acting at a point are 16N and 4N.if they are acting at an angle 120 with one another their resultant is
See Related Questions below.
To find the resultant of two forces acting at an angle, you can use the concept of vector addition. The resultant of two forces is the vector sum of the two forces.
To solve this problem, you can use the law of cosines to calculate the magnitude of the resultant force. The law of cosines states that for a triangle with sides a, b, c and angle θ opposite to side c:
c^2 = a^2 + b^2 - 2ab * cos(θ)
In this case, the forces are 16N and 4N, and the angle between them is 120 degrees.
Using the formula, we can calculate the resultant force as follows:
R^2 = (16N)^2 + (4N)^2 - 2 * 16N * 4N * cos(120°)
R^2 = 256N^2 + 16N^2 - 128N^2 * cos(120°)
R^2 = 256N^2 + 16N^2 - 128N^2 * (-0.5)
R^2 = 256N^2 + 16N^2 + 64N^2
R^2 = 336N^2
Taking the square root of both sides, we get:
R = √(336N^2)
R = √(336) * N
R ≈ 18.33N
Therefore, the magnitude of the resultant force is approximately 18.33N.