A uniform disk has radius R0 and mass M0. Its moment of inertia for an axis perpendicular to the plane of the disk at the disk's center is 12M0R20. You have been asked to halve the disk's moment of inertia by cutting out a circular piece at the center of the disk. Part A In terms of R0, what should be the radius of the circular piece that you remove? Express your answer in terms of R0.

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s