The-Organic-Chemistry-Tutor
This video teaches how to find the resultant vector of two force vectors by breaking them down into their component form, adding the x and y components and using trigonometry and unit vectors. By calculating the magnitude and direction of the resultant vector, we can determine how the forces are acting on an object. The magnitude of the resultant vector is calculated using the Pythagorean theorem, while the direction is found by determining the angle relative to the positive x-axis. An example problem is shown using two vectors with magnitudes of 312.1 N and 38.9 N and an angle of 163.4 degrees between them.
In this section, the video explains how to find the resultant vector when adding two force vectors. The first step is to break down each vector into its component form and then add the components together. To find the x and y components of each force vector, the video uses trigonometry and unit vectors. By finding the magnitude and direction of the resultant vector, we can determine how the forces are acting on an object.
In this section, we learn how to find the resultant vector of two vectors using their component form. After adding the x and y components of f1 and f2, we get the resultant vector. To calculate the magnitude of the resultant vector, we use the Pythagorean theorem, while the reference angle of the triangle can be found by taking the arc tangent of the y component divided by the x-component.
In this section, the video explains how to find the direction of the resultant vector of two vectors by determining the angle relative to the positive x-axis. Using the example of two vectors with magnitudes of 312.1 N and 38.9 N, and an angle of 163.4 degrees between them, the video shows how to calculate the reference angle and the angle relative to the positive x-axis, which is 97.1 degrees. With the magnitude and direction of the resultant vector, it can be described as having a magnitude of 314.5 N and pointing counter-clockwise from the positive x-axis.
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