A think rod\[MN\], free to rotate in the vertical plane about the fixed end\[N\], is held horizontal. When the end \[M\] is released the speed of this end, when the rod makes an angle \[\alpha \] with the horizontal, will be proportional to: (see figure) [JEE Online 15-04-2018 (II)] |
A) \[\sqrt{\cos \alpha }\]
B) \[\cos \alpha \]
C) \[\sin \alpha \]
D) \[\sqrt{\sin \alpha }\]
Correct Answer: A
Solution :
[a] When the rod makes an angle of |
displacement of centre of mass |
speed of end |
hence is proportional to |
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