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Vectors

$a_A=(,n+,t)\frac{m}{s^2}$

$v_B=(,x+,y)\frac{m}{s}$

$v_B=(,n+,t)\frac{m}{s}$

$a_B=(,x+,y)\frac{m}{s^2}$

$a_B=1,n+,t$

$v_{\frac{A}{B}}=(,x+,y)\frac{m}{s}$

$a_{\frac{A}{B}}=(,x+,y)\frac{m}{s^2}$

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.