Question

part a in case shown in (figure 1), determine the x and y components of the resultant force. suppose that f = 750 n. enter the x and y components of the force separated by a comma using three significant figures. (fr)x, (fr)y = 800,50 n incorrect; try again; 2 attempts remaining submit previous answers request answer part b figure 1 of 4

Explanation:

Step1: Resolve force F into components

Given $F = 750$ N and the ratio of sides of the right - triangle related to the direction of $F$ is $3:4:5$. The $x$ - component of $F$ is $F_x=F\times\frac{4}{5}$, and the $y$ - component of $F$ is $F_y = F\times\frac{3}{5}$. So $F_x=750\times\frac{4}{5}=600$ N and $F_y = 750\times\frac{3}{5}=450$ N.

Step2: Sum up the x - components of all forces

The other horizontal force is $400$ N to the left (negative $x$ - direction). So $(F_R)_x=F_x - 400=600 - 400 = 200$ N.

Step3: Sum up the y - components of all forces

The other vertical force is $200$ N downwards (negative $y$ - direction). So $(F_R)_y=F_y-200=450 - 200=250$ N.

Answer:

$200,250$