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Question: Answered & Verified by Expert
A rod of length 'L' is hung from its one end and a mass 'm' is attached to its free
end. What tangential velocity must be imparted to 'm', so that it reaches the top of
the vertical circle? (g = acceleration due to gravity)
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Options:
  • A $4 \sqrt{\mathrm{gL}}$
  • B $2 \sqrt{\mathrm{gL}}$
  • C $5 \sqrt{\mathrm{gL}}$
  • D $3 \sqrt{\mathrm{gL}}$
Solution:
1871 Upvotes Verified Answer
The correct answer is: $2 \sqrt{\mathrm{gL}}$
$2 \sqrt{g L}$
$h=2 L$
$\frac{1}{2} \mathrm{mv}^{2}=\mathrm{mg} 2 \mathrm{L}$
$v_{2}=4 g L$
$v=2 \sqrt{g L}$

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