JEE Advanced 2022 Physics question
At time , a disk of radius 1 starts to roll without slipping on a horizontal plane with an angular acceleration of . A small stone is stuck to the disk. At , it is at the contact point of the disk and the plane. Later, at time , the stone detaches itself and flies off tangentially from the disk. The maximum height (in ) reached by the stone measured from the plane is . The value of is . [Take .]
Answer: 0.52
Solution
At s: rad/s and the disk has turned through . The stone, which started at the contact point, is now at height m. Its velocity (rolling without slipping) is $ v = ω R(1-θ,\
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