Two forces whose resultant is 100newton are perpendicular to each other if one of them makes an angle of 60° with the resultant.
calculate its magnitude
you have a 30-60-90 right triangle. Recall its side-length ratios
F1 = 100*Cos60 =
F2 = 100*sin60 =
To calculate the magnitude of the perpendicular force, we need to use the concept of vector addition and trigonometry.
Given that the resultant force is 100 Newtons and one of the forces makes an angle of 60 degrees with the resultant, let's assume the magnitude of the perpendicular force is F.
Since the forces are perpendicular to each other, they can be represented as the adjacent and opposite sides of a right triangle.
Using trigonometry, we can determine that the magnitude of the perpendicular force can be calculated using the equation:
F = 100 * sin(60°)
To find the value, we can substitute the angle in radians for sin(60°) or use a scientific calculator to get the exact value.
Using a scientific calculator, we find that sin(60°) is equal to √3/2 ≈ 0.866.
Now, substitute this value into the equation:
F = 100 * 0.866 ≈ 86.6 Newtons
Therefore, the magnitude of the perpendicular force is approximately 86.6 Newtons.