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a bicycle wheel with radius R,mass M,and moment of inertia I=3/4MR^2 is mounted inthe shop so...

a bicycle wheel with radius R,mass M,and moment of inertia I=3/4MR^2 is mounted inthe shop so that it can freely turn around a fixed horizontal axis. Someone walking by accidently drops a glob(mass m) of rubber sement on the tire at a point that is a horizontal distance 1/2 R from the wheel's center. the gob has a vertical speed |v| just before it hits. What is the magnitude |w| of the wheel's angular velocity just after the glob hits and sticks?

a)write down the sum of initial angular momentum in column vector form.

b)write down the sum of final momentum in column vector form.

c)find the final angular velocity in terms of m,v.R, and M

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