In an investigation of whiplash resulting from rearend collision, sudden rotation of the...

In an investigation of whiplash resulting from rearend collision, sudden rotation of the head is modeled by using a homogeneous solid sphere of mass m and radius r pivoted about a tangent axis (at the neck) to represent the head. If the axis at O is given a constant acceleration a with the head initially at rest, determine expressions for the initial angular acceleration α of the head and its angular velocity ω as a function of the angle θ of rotation. Assume that the neck is relaxed so that no moment is applied to the head at O.