Three cords are securely wrapped around the attached wheels, as shown. The wheels are released from rest in the vertical plane while two forces P $=16$ N are applied at the cords wrapped around the small wheels. The total mass of the wheels is $20$ kg and the radius of gyration of the wheels about their center of mass G is $0\mathrm{.}45$ m$.$ If r $=0\mathrm{.}4$ m and R $=0\mathrm{.}8$ m$,$ calculate the initial acceleration of mass center G and the tension in cord C$.($T $=42\mathrm{.}7$ N$,$a $=9\mathrm{.}27$ m$/$s$2)$