h$==$ rigure vis

c$)$ A winding drum of mass $200$ tone has a radius of gyration of $3$ m $.$

i$.$ Find the constant torque required to raise the speed from $40$ to $80re\frac{v}{m}in$

in $60$ seconds if the friction torque is $15$ kNm

$(6$ marks$)$

ii$.$ If the wheel is rotating freely at $80re\frac{v}{m}in$ and a brake is applied bringing it

to rest in $120$ revs, find the brake torque assuming uniform retardation.

$(6$ marks$)$