A multi$-$plate clutch is required to transfer maximum power of $50kW$ from an internal combustion engine rotating at $1800rpm$ to a gear box $($Figure $1).$ The clutch has an effective inside diameter of $50mm$ and an outside diameter of $120mm.$ The clutch material is impregnated asbestos on steel $($wet$).$ There are $3$ planes of sliding present. You are required to answer the following questions based on the given information:

$10.$ From Figure $1,$ what type of actuation mechanism is used to operate the clutch?

$($a$)$ Spring plate

$($b$)$ Hydraulic cylinder

$($c$)$ Pneumatic system

$($d$)$ Anti$-$lock braking system $($ABS$)$

$11.$ Using the uniform wear model, the axial force on plate assembly is:

$($a$)9\mathrm{.}3kN$

$($b$)7\mathrm{.}0kN$

$($c$)5\mathrm{.}5kN$

$($d$)2\mathrm{.}0kN$

$12.$ Using the uniform wear model, the permissible torque $(T_c)$ on plate assembly is:

$($a$),176\mathrm{.}0Nm$

$($b$),74\mathrm{.}8Nm$

$($c$),28\mathrm{.}0Nm$

$($d$),8\mathrm{.}9Nm$

$13.$ The torque $(T)$ required to be transmitted by the clutch assembly is:

$($a$),26\mathrm{.}5Nm$

$($b$)112\mathrm{.}0Nm$

$($c$),253\mathrm{.}1Nm$

$($d$),1590\mathrm{.}0Nm$