JEE Main2009PhysicsRotational MotionActual
A thin uniform rod of length and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is . Its centre of mass rises to a maximum height of
Options
- A1 3 ^2 ^2 g
- B1 6 g
- C1 2 ^2 ^2 g
- D1 6 ^2 ^2 ~g
Correct answer
D. 1 6 ^2 ^2 ~g
Step-by-step solution
aligned & & T.E =T . E_ f & 1 2 I ^2=m g h & 1 2 1 3 m ^2 ^2=m g h h= 1 6 ^2 ^2 ~g aligned