Final answer:
To resolve F1 onto the y-axis and u-axis, use trigonometry to find its components. Add F1 and F2 using Component Vector Notation and the Parallelogram Law. Determine the angle counterclockwise from the positive x-axis using the Law of Sines.
Step-by-step explanation:
To resolve F1 onto the y-axis and the u-axis, we need to find the components of F1 in those directions. Given that F1 has a magnitude of 300 N and an angle of 35∘, we can use trigonometry to determine its components. The component of F1 parallel to the y-axis (F1y) can be found using the equation F1y = F1 * sin(Φ), where Φ is the angle between F1 and the y-axis. Substituting the given values, we get F1y = 300 * sin(35∘) = 171.35 N. The component of F1 parallel to the u-axis (F1u) can be found using the equation F1u = F1 * cos(Φ), where Φ is the angle between F1 and the u-axis. Substituting the given values, we get F1u = 300 * cos(35∘) = 244.65 N.
To add F1 and F2 using the Component Vector Notation (CVN), we need to find their components in the x and y directions. Assuming F2 is given with its magnitude and angle, we can follow a similar process as above to find its x-component (F2x) and y-component (F2y). Once we have these components, we can simply add them to get the resulting vector in CVN.
To add the vectors using the Parallelogram Law, we need to draw the vectors to scale and construct a parallelogram. The diagonal of the parallelogram is the sum of the vectors. Given that Θ is the angle between the vectors and F is the magnitude of one of the vectors, we can use the Law of Cosines to find the magnitude of the resultant vector. The angle counterclockwise from the positive x-axis can be found using the Law of Sines. By substituting the given values into these equations, we can determine the magnitude and direction of the resultant vector.