Problem $1$: Consider the rotating disk below.The disk is rotating clockwise at a constant speed of

$30ra\frac{d}{s}.$ A line AO makes a $40-$degree angle with respect to the negative x $-$axis and a line BO makes a

$25-$degree angle with respect to the positive y$-$axis. Complete the following tasks showing all of your

work. Include motion diagrams defining each variable and use the formating on the next page to submit

your vectors.

$r_{in}=10mm$ and $r_{\text{o}\text{u}\text{t}}=14mm$

a$)$ Determine the velocity at points A and B in the $x-$y coordinate system and their relative

normal and tangential coordinate systems. Define the direction of velocity as the positive

tangent direction.

b$)$ Determine the acceleration of points A and B in the $x-y$ coordinate system and their relative

normal and tangential coordinate systems. Define the direction of velocity as the positive

tangent direction.

c$)$ Determine the relative velocity and acceleration of point A with respect to $B$ in the $x-y$

coordinate system.

Problem $1$: Consider the rotating disk below.The disk is rotating clockwise at a constant speed of

$30ra\frac{d}{s}.$ A line AO makes a $40-$degree angle with respect to the negative x $-$axis and a line BO makes a

$25-$degree angle with respect to the positive $y-$axis. Complete the following tasks showing all of your

work. Include motion diagrams defining each variable and use the formating on the next page to submit

your vectors.

$r_{in}=10mm$ and $r_{\text{o}\text{u}\text{t}}=14mm$

a$)$ Determine the velocity at points A and B in the x$-$y coordinate system and their relative

normal and tangential coordinate systems. Define the direction of velocity as the positive

tangent direction.

b$)$ Determine the acceleration of points A and B in the x$-$y coordinate system and their relative

normal and tangential coordinate systems. Define the direction of velocity as the positive

tangent direction.

c$)$ Determine the relative velocity and acceleration of point A with respect to $B$ in the $x-y$

coordinate system.