Aspherical shell of mass m and radius r is completely filled with a frictionless fluid, also of mass m. it is released from rest, and then it rolls without slipping down an incline that makes an angle θ with the horizontal. what will be the acceleration of the shell down the incline just after it is released? assume the acceleration of free fall is g. the moment of inertia of a thin shell of radius r and mass m about the center of mass is i =2/ 3mr2; the moment of inertia of a solid sphere of radius r and mass m about the center of mass is i =2/5mr2.
(a) a = g sin θ
(b) a =3/4 g sin θ
(c) a =1/2 g sin θ
(d) a =3/8 g sin θ
(e) a =3/5 g sin θ