Question

For vector addition R = A + B, where A = 100 g at 30° and B = 200 g at 120°, find the sum of the two forces using the Component Method and Triangle method (legn. 3-1 and 3-2).

Answer 1

The question revolves around finding the resultant vector R by adding Vector A (100 g at 30°) and Vector B (200 g at 120°) using two methods: the Component Method and the Triangle Method.

Step-by-step explanation:

The student's question involves vector addition using both the Component Method and the Triangle Method. Let's start with the Component Method:

Vector A (100 g at 30°):
Ax = A * cos(θ) = 100 * cos(30°)
Ay = A * sin(θ) = 100 * sin(30°)

Vector B (200 g at 120°):
Bx = B * cos(θ) = 200 * cos(120°)
By = B * sin(θ) = 200 * sin(120°)

Then, we add the components from each vector:
Rx = Ax + Bx
Ry = Ay + By
Finally, we use Pythagorean theorem to find the magnitude of R and arctangent to find the angle.

For the Triangle Method, we would graphically draw Vector A and Vector B using the head-to-tail method and measure the resultant vector R with a ruler and protractor. This will give us the magnitude and direction of R.