SOLVE $5/21$ and $5/22$ ONLY PLEASE

$5/18$ Point A of the circular disk is at the

angular position $=0$ at time t $=0.$ The disk

has angular velocity $0=0\mathrm{.}1$ rad$/$s at t $=$

$0$ and subsequently experiences a constant

angular acceleration $=2$ rad$/$s$2.$ Determine

the velocity and acceleration of point A in

terms of fixed i and j unit vectors at time t $=1$

s$.$

Answer: vA $=0\mathrm{.}374$i $+0\mathrm{.}1905$j m$/$s

aA $=0\mathrm{.}757$i $0\mathrm{.}605$j m$/$s$2$

$5/20$ Repeat Prob. $5/18,$ except now the angular acceleration of the disk is given by $=2$$,$

where is in radians per second and is in radians per second squared. Determine the

velocity and acceleration of point A in terms of fixed i and j unit vectors at time t $=1$ s$.$

Answer: vA $=0\mathrm{.}0464$i $+0\mathrm{.}1403$j m$/$s

aA $=0\mathrm{.}1965$i $+0\mathrm{.}246$j m$/$s$2$

$5/21$ The disk of Prob. $5/18$ is at the angular position $=0$ at time t $=0.$ Its angular velocity

at t $=0$ is $0=0\mathrm{.}1$ rad$/$s$,$ and then it experiences an angular acceleration given by $=2$$,$

where is in radians and is in radians per second squared. Determine the angular position

of point A at time t $=2$ s$.$

Answer: $=0\mathrm{.}596$ rad