$+-$ Moment of a Force: Vector Formulation

Learning Goal To understand the concept of moment of a force and how to calculate it using a vector formulation

A man wishes to spin a merry$-$go$-$round in the $x-y$ plane centered at the origin $(0\mathrm{.}000,0\mathrm{.}000,0\mathrm{.}000).($Figure $1)$ Because he must pull upward and cannot stand on the merry$-$go$-$round, he must apply a force in the direction of the unit vector $u=(-\frac{1}{3})i+(\frac{2}{3})j+(\frac{2}{3})$

Part A

What are the $x,y,$ and $z$ components of the resulting moment acting on the merry$-$go$-$round about the origin? Express your answers numerically in pound$-$feet to three significant figures separated by commas. $,$ View Available Hint$($s$)$

$$

Previous Answers

x Incorrect; Try Again; $5$ attempts remaining Term $1$: Review your calculations and make sure you round to $3$ significant figures in the last step. Term $2$: Review your calculations and make sure you round to $3$ significant figures in the last step Term $3$: Review your calculations and make sure you round to $3$ significant figures in the last step.

Part B Complete previous part$($s

$$

$1$ of$+-$ Moment of a Force: Vector Formulation

Learning Goal To understand the concept of moment of a force and how to calculate it using a vector formulation

A man wishes to spin a merry$-$go$-$round in the $x-y$ plane centered at the origin $(0\mathrm{.}000,0\mathrm{.}000,0\mathrm{.}000).($Figure $1)$ Because he must pull upward and cannot stand on the merry$-$go$-$round, he must apply a force in the direction of the unit vector $u=(-\frac{1}{3})i+(\frac{2}{3})j+(\frac{2}{3})$

Part A

What are the $x,y,$ and $z$ components of the resulting moment acting on the merry$-$go$-$round about the origin? Express your answers numerically in pound$-$feet to three significant figures separated by commas. $,$ View Available Hint$($s$)$

$$

Previous Answers

x Incorrect; Try Again; $5$ attempts remaining Term $1$: Review your calculations and make sure you round to $3$ significant figures in the last step. Term $2$: Review your calculations and make sure you round to $3$ significant figures in the last step Term $3$: Review your calculations and make sure you round to $3$ significant figures in the last step.

Part B Complete previous part$($s

$$

$1$ of