$3\mathrm{.}2\mathrm{.}2$ Couples in Three Dimensions

Challenge

Given the following values below, you will be asked to solve various questions regarding the forces. Please pay attention to what each question is asking. Report all answers to the hundredths place.

$=15\mathrm{.}0$

$F_1=+-($:$20,5,-2$:$)[N]$

$r=0\mathrm{.}260[m]$

Figure References: All figures created by author$($s$)$ using Adobe Illustrator with permission. $3\mathrm{.}2\mathrm{.}2$ Couples in Three Dimensions

Challenge

Given the following values above, what is the magnitude of the moment about the origin $($point $O)$ due to forces $F_1$ and $-F_1$ acting

on the gate valve? Units are taken as $[$N$-$m$]$; do not report units in your answer. Report your answer to the hundredths place. The

use of significant digits is not required.

Type your numeric answer and submit

$3\mathrm{.}2\mathrm{.}2$ Couples in Three Dimensions

Challenge

Given the following values, what is the magnitude of the couple acting on the gate valve due to the position vector B to $A?$ Units

are taken as $N-m$; do not report units in your answer. Report your answer to the hundredths place. The use of significant digits is

not required. Challenge

Given the following values, what is the magnitude of the couple acting on the gate valve due to the position vector $A$ to $B?$ Units

are taken as $[$N$-$m$]$; do not report units in your answer. Report your answer to the hundredths place. The use of significant digits is

not required.

Type your numeric answer and submit