Rotational MotionHard
Question
A cord is wound over a cylinder of radius r and moment of inertia I. A mass m is attached to the free end of the cord. The cylinder is free to rotate about its own horizontal axis. If mass m is released from rest, then the velocity of the mass after it had fallen through a distance h will be -
Options
A.(2gh)1/2
B.
C.
D.
Solution
Translation equation
mg - T = ma
For rotational equation motion
T × r =
∴ mg = a
⇒ 
∴ v =
mg - T = ma
For rotational equation motion
T × r =
∴ mg = a
⇒ ∴ v =
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