The $30-kg$ disk is originally spinning at $v=125ra\frac{d}{s}.$ If it is placed on the ground, for which the coefficient of kinetic friction is $C=0\mathrm{.}5,$ determine the time required for the motion to stop. What are the horizontal and vertical components of force which the member $AB$ exerts on the pin at A during this time? Neglect the mass of AB$.$

A$.$ Drow the FBD of the system. $(5)$

B$.$ Calculate contact force at point C$.(5)$

C$.$ Calculate the force acting on the member AB$.(5)$

D$.$ Calculate the reaction forces at pin A$.(5)$

E$.$ Determine the time required for the motion to stop. $(5)$

K$4=7$