PROBLEM $17\mathrm{.}72$

A $9-$in$.-$radius cylinder of weight $18$ lb rests on a $6-$lb carriage. The system is at rest when a force $P$ of magnitude $2\mathrm{.}5$ lb is applied as shown for $1\mathrm{.}2$ s $.$ Knowing that the cylinder rolls without sliding on the carriage and neglecting the mass of the wheels of the carriage, determine the resulting velocity of $(a)$ the carriage, $(b)$ the center of the cylinder.

Solutions:

$=7\mathrm{.}16ra\frac{d}{s},v_B=8\mathrm{.}05f\frac{t}{s}longrightarrow{v}_A=2\mathrm{.}68f\frac{t}{s}$longrightarrow