Final answer:
To find the vertical component of the force, Fy, we use the formula Fy = f × sin(θx) with the given force and angle. Calculating using the value of sin(33°), the vertical component of the force is approximately 56.64 newtons.
Step-by-step explanation:
The question involves finding the vertical component of a force given the magnitude and angle in a two-dimensional plane (xy-plane). Given that the total force f = 104 newtons and the angle θx = 33 degrees, we can calculate the vertical component (Fy) using the sine function:
Fy = f × sin(θx)
= 104 N × sin(33°)
Now, we perform the calculation:
Fy = 104 N × 0.5446 (approximate value of sin(33°))
Fy = 56.64 N (rounded to two decimal places)
Therefore, the vertical component of the force, Fy, is approximately 56.64 newtons.