A block of mass = 2.

A block of mass = 2.1 kg is attached to a string that is wrapped around the circumference of a wheel of radius = 8.0 cm. The wheel rotates freely about its axis and the string wraps around its circumference without slipping. Initially the wheel rotates with an angular speed , causing the block to rise with a linear speed = 0.26 m/s .Find the moment of inertia of the wheel if the block rises to a height of = 7.7 cm before momentarily coming to rest.