Question

the magnitude of the moment of force p about point a can be determined by m = pd (figure 1) 1 of 1 part a which is the correct expression of the distance d? l sin θ l cos²θ l sin θ cos θ l sin²θ l cos θ l tan θ

Explanation:

Step1: Recall moment formula

The moment $M = Pd$, where we need to find $d$.

Step2: Analyze geometric relationship

From the right - triangle formed by the line of action of the force $P$ and the perpendicular distance from point $A$ to the line of action of $P$. The perpendicular distance $d$ from point $A$ to the line of action of the force $P$ is given by the length of the side of the right - triangle that is opposite to the angle $\theta$ in the right - triangle with hypotenuse $L$. Using trigonometry, $\sin\theta=\frac{d}{L}$, so $d = L\sin\theta$.

Answer:

$L\sin\theta$