Question

At time $t=0$, a disk of radius $1 \,m$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha=\frac{2}{3}\, rad\, s ^{-2}$ 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 $t=\sqrt{\pi} s$, 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 $\frac{1}{2}+\frac{x}{10}$ The value of $x$ is ___[ [Take $g=10 \,m s ^{-2}$]

Answer 1

Answer: 0.52