A horizontal shaft supported by bearings A and $E.$ The distance between A and $E$ is $7$ m $.$ The shaft

carries three pulleys $($B$,$ C$,$ and D$)$ of mass $120,140$ and $40$ kg at $2,4,$ and $5\mathrm{.}5$ m respectively from

bearing $A.$ The centres of mass of these pulleys are at $4\mathrm{.}5,3\mathrm{.}0,$ and $5\mathrm{.}0$ mm respectively from the

shaft axis. The angular positions of masses $D$ and $C$ with respect to that in mass $B$ if the shaft is

in static balance is $135$ and $200$ anti$-$clockwise. The shaft rotates at $300$ revolutions per minute

$($rpm$).$ Determine the dynamic load $(N)$ on each bearing.