Fiat car with a gross weight of $14$ kN has a weight transfer ratio of $62$:$38$ front to rear during braking. The vehicle is provided with internal expanding shoe brake with two leading shoes in the front wheels. The tyre diameter is $550$ mm and the coefficient of road adhesion is $0\mathrm{.}85$ and rolling resistance is $0\mathrm{.}015.$ The cast iron drum is $200$ mm in diameter and $65$ mm wide, $10$ mm thickness and has a mass of $7$kg$.$ The asbestos lining provided with $55$ mm wide and $8$ mm thick bonded to the shoe by adhesive. Each of these liners subtends an angle of $102\backslash$deg at the centre of the drum. If the vehicle is braked to rest in $15$ seconds from a cruising speed of $100$ kmph$,$ determine the peak and the bulk temperatures attained by the front wheel drums. If the vehicle is braked repeatedly from $80$ to $40$ kmph with an interval of $3$ minutes between successive braking, determine the equilibrium temperature attained by the front wheel drum and the life of the brake liner as well.