A hanging mass $m=82kg$ is released from rest and accelerates downward. The winding drum $A$ of mass $m_a=70kg$ with an effective diameter of ${}_a=440mm$ and a

radius of inertia $k_a=375mm$ meshes with gear $B.$

$>>>$ Please note: Gear $B$ has a moment of inertia of $0\mathrm{.}75kg{m}^2.$

Assume ${}_b=5{}_a,$ with subscript ${?}_a$ related to the winding drum and ${?}_b$ to gear $B.$

Analyse the frictionless system and calculate:

The moment of Inertia of the drum $I_a=m_a{k}_a^2=$

$kg{m}^2$

The linear acceleration $a=$

$\frac{m}{s}\frac{?}{s}$

The angular accelerations for the drum ${}_a=$

$ra\frac{d}{s}\frac{?}{s}$ as well as the gear ${}_b=$

$ra\frac{d}{s}\frac{?}{s(**)}$

The tension in the cord $F_1=$