Problem 12.1 Three forces are applied to a tree sapling, as shown in the figure
ID: 1793197 • Letter: P
Question
Problem 12.1
Three forces are applied to a tree sapling, as shown in the figure (Figure 1) , to stabilize it.
Part A
If FA = 340 N and FB = 450 N , find FC in magnitude.
Incorrect; Try Again; 4 attempts remaining
Part B
Find FC in direction (relative toFA) .
Problem 12.1
Three forces are applied to a tree sapling, as shown in the figure (Figure 1) , to stabilize it.
Part A
If FA = 340 N and FB = 450 N , find FC in magnitude.
|FC| = NIncorrect; Try Again; 4 attempts remaining
Part B
Find FC in direction (relative toFA) .
= FB 105° FA FcExplanation / Answer
Vertical component
450N*sin105 - F3*sin = 0
F3*sin = 434.666 N
Horizontal component
340N + 450N*cos105 + F3*cos = 0
F3*cos = -223.531 N
Divide vertical component by horizontal:
F3*sin / F3*cos = tan
tan = 434.666 / -223.531
tan = -1.9445
= -62.78º
= 117.2 (clockwise)
F3*cos117.2 = -223.531 N
F3 = 488.77 N