A block of mass m is attached to a string that is wrapped around the circumference of a wheel of radius R and moment of inertia I. The wheel rotates freely about its axis and the string wraps around its circumference without slipping (see Example 10-6). Suppose the block has a mass of 2.1 kg and an initial upward speed of 0.43 m/s. Find the moment of inertia of the wheel if its radius is 8.0 cm and the block rises to a height of 6.1 cm before momentarily coming to rest.