Question

(problem reference m.2) two force vectors are shown in the figure. the magnitudes of the forces are a = 100 n and b = 125 n. what is the x - component of the vector \\( \vec { a } \\)? 113n - 52.8n 81.9n - 57.4n - 81.9n

Explanation:

Step1: Determine the formula for x - component

The formula for the x - component of a vector \(\vec{A}\) is \(A_x=-A\sin\theta\) (negative because the x - component is in the negative x - direction). Here \(A = 100\space N\) and \(\theta=35.0^{\circ}\).

Step2: Calculate the x - component

Substitute the values into the formula: \(A_x=- 100\times\sin(35.0^{\circ})\).
Using a calculator, \(\sin(35.0^{\circ})\approx0.574\).
So \(A_x=-100\times0.574=- 57.4\space N\).

Answer:

-57.4 N