At time t = 0, a disk of radius 1 m starts to roll without slipping on a horizontal plane with an angular acceleration of α = 2/3 rod s-2 . A small stone is stuck to the disk. At t = 0, it is at the contact point of the disk and the plane. Later, at time t = √π s , the stone detaches itself and flies off tangentially from the disk. The maximum height (in m) reached by the stone measured from the plane is 1/2 + x/10 . The value of x is _____
[Take g = 10ms-2.]
