Constants: $g=9\mathrm{.}8\frac{(m)}{s^2},65*22$

Do not discuss any aspect of this test with anyone unti$$ return the test.

$[1]$ A point mass is attached to the end of a massless bar of length R$.$ The other end of the bar is attached to a hinge at the origin. The mass is observed to have an angular time dependence $($in radians$/$s$)$ which is given by $(t)={}_0+\frac{1}{2}b{t}^2.$

$[1$:a$]$ The angular velocity is described by:

$($a$)bt$

$($b$)$ b

$($c$)b{t}^3$

$($d$)3b{t}^2$

$[1$:b$]$ The angular acceleration of the mass is described by:

$($a$)bt$

$($b$)b$

$($c$)b{t}^3$

$($d$)3b{t}^2$

For the rest of the problem, assume that ${}_0=0,{}_0=0,b=0\mathrm{.}5\frac{\text{r}\text{a}\text{d}}{s^2}$ and $R=2\mathrm{.}0m.$

$[1$:c$]$ The tangential velocity at $t=2s$ is:

$($a$)1\frac{m}{s}$

$($b$)8\frac{m}{s}$

$($C$)2\frac{m}{s}$

$($d$)2\mathrm{.}2\frac{m}{s}$

$[1$:d$]$ The centripetal acceleration at $t=2s$ is:

$($a$)1\frac{m}{s^2}$

$($b$)8\frac{m}{s^2}$

$($c$)2\frac{m}{s^2}$

$($d$),2\mathrm{.}2\frac{m}{s^2}$

$[1$:e$]$ The tangential acceleration at $t=2s$ is:

$($a$)1\frac{m}{s^2}$

$($b$)8\frac{m}{s^2}$

$($c$)12\frac{m}{s^2}$

$($d$)2\mathrm{.}2\frac{m}{s^2}$

$[1$:f$]$ The magnitude of the total acceleration at $t=2s$ is:

$($a$)1\frac{m}{s^2}$

$($b$)8\frac{m}{s^2}$

$($c$)12\frac{m}{s^2}$

$($d$)2\mathrm{.}2\frac{m}{s^2}$